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Finding the Fourth Proportional to 15,387, 23,080.65 and 4,294.50

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Solution

The fourth proportional to 15,387, 23,080.65 and 4,294.50 is: 6,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,387 : 23,080.65 = 4,294.50 : x
  2. Step 2: Convert to fraction form
    15,387/23,080.65 = 4,294.50/x
  3. Step 3: Cross multiply
    15,387x = 23,080.65 × 4,294.50
  4. Step 4: Simplify right side
    15,387x = 99,119,851.43
  5. Step 5: Solve for x
    x = 99,119,851.43/15,387
  6. Step 6: Final answer
    x = 6,441.79

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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.