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Finding the Fourth Proportional to 13,613.32, 18,787.94 and 7,646.91

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Solution

The fourth proportional to 13,613.32, 18,787.94 and 7,646.91 is: 10,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.32 : 18,787.94 = 7,646.91 : x
  2. Step 2: Convert to fraction form
    13,613.32/18,787.94 = 7,646.91/x
  3. Step 3: Cross multiply
    13,613.32x = 18,787.94 × 7,646.91
  4. Step 4: Simplify right side
    13,613.32x = 143,669,686.27
  5. Step 5: Solve for x
    x = 143,669,686.27/13,613.32
  6. Step 6: Final answer
    x = 10,553.61

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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.