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Finding the Fourth Proportional to 10,642.64, 14,687.64 and 6,167.60

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Solution

The fourth proportional to 10,642.64, 14,687.64 and 6,167.60 is: 8,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.64 : 14,687.64 = 6,167.60 : x
  2. Step 2: Convert to fraction form
    10,642.64/14,687.64 = 6,167.60/x
  3. Step 3: Cross multiply
    10,642.64x = 14,687.64 × 6,167.60
  4. Step 4: Simplify right side
    10,642.64x = 90,587,488.46
  5. Step 5: Solve for x
    x = 90,587,488.46/10,642.64
  6. Step 6: Final answer
    x = 8,511.75

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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.