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Finding the Fourth Proportional to 15,714, 23,567.12 and 9,390.69

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Solution

The fourth proportional to 15,714, 23,567.12 and 9,390.69 is: 14,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 23,567.12 = 9,390.69 : x
  2. Step 2: Convert to fraction form
    15,714/23,567.12 = 9,390.69/x
  3. Step 3: Cross multiply
    15,714x = 23,567.12 × 9,390.69
  4. Step 4: Simplify right side
    15,714x = 221,311,471.16
  5. Step 5: Solve for x
    x = 221,311,471.16/15,714
  6. Step 6: Final answer
    x = 14,083.71

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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.