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Finding the Fourth Proportional to 9,178.63, 12,666.79 and 6,494.66

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Solution

The fourth proportional to 9,178.63, 12,666.79 and 6,494.66 is: 8,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.63 : 12,666.79 = 6,494.66 : x
  2. Step 2: Convert to fraction form
    9,178.63/12,666.79 = 6,494.66/x
  3. Step 3: Cross multiply
    9,178.63x = 12,666.79 × 6,494.66
  4. Step 4: Simplify right side
    9,178.63x = 82,266,461.87
  5. Step 5: Solve for x
    x = 82,266,461.87/9,178.63
  6. Step 6: Final answer
    x = 8,962.83

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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.