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Finding the Fourth Proportional to 15,851.85, 23,778 and 7,532.71

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Solution

The fourth proportional to 15,851.85, 23,778 and 7,532.71 is: 11,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.85 : 23,778 = 7,532.71 : x
  2. Step 2: Convert to fraction form
    15,851.85/23,778 = 7,532.71/x
  3. Step 3: Cross multiply
    15,851.85x = 23,778 × 7,532.71
  4. Step 4: Simplify right side
    15,851.85x = 179,112,778.38
  5. Step 5: Solve for x
    x = 179,112,778.38/15,851.85
  6. Step 6: Final answer
    x = 11,299.17

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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.