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Finding the Fourth Proportional to 9,312.98, 12,855.92 and 6,655.77

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Solution

The fourth proportional to 9,312.98, 12,855.92 and 6,655.77 is: 9,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.98 : 12,855.92 = 6,655.77 : x
  2. Step 2: Convert to fraction form
    9,312.98/12,855.92 = 6,655.77/x
  3. Step 3: Cross multiply
    9,312.98x = 12,855.92 × 6,655.77
  4. Step 4: Simplify right side
    9,312.98x = 85,566,013.38
  5. Step 5: Solve for x
    x = 85,566,013.38/9,312.98
  6. Step 6: Final answer
    x = 9,187.83

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.