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Finding the Fourth Proportional to 8,501.72, 12,753.88 and 2,656.96

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Solution

The fourth proportional to 8,501.72, 12,753.88 and 2,656.96 is: 3,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.72 : 12,753.88 = 2,656.96 : x
  2. Step 2: Convert to fraction form
    8,501.72/12,753.88 = 2,656.96/x
  3. Step 3: Cross multiply
    8,501.72x = 12,753.88 × 2,656.96
  4. Step 4: Simplify right side
    8,501.72x = 33,886,549.00
  5. Step 5: Solve for x
    x = 33,886,549.00/8,501.72
  6. Step 6: Final answer
    x = 3,985.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.