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Finding the Fourth Proportional to 15,491, 23,239.38 and 7,283

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Solution

The fourth proportional to 15,491, 23,239.38 and 7,283 is: 10,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491 : 23,239.38 = 7,283 : x
  2. Step 2: Convert to fraction form
    15,491/23,239.38 = 7,283/x
  3. Step 3: Cross multiply
    15,491x = 23,239.38 × 7,283
  4. Step 4: Simplify right side
    15,491x = 169,252,404.54
  5. Step 5: Solve for x
    x = 169,252,404.54/15,491
  6. Step 6: Final answer
    x = 10,925.85

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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.