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Finding the Fourth Proportional to 19,715.76, 29,573.64 and 11,502

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Solution

The fourth proportional to 19,715.76, 29,573.64 and 11,502 is: 17,253

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.76 : 29,573.64 = 11,502 : x
  2. Step 2: Convert to fraction form
    19,715.76/29,573.64 = 11,502/x
  3. Step 3: Cross multiply
    19,715.76x = 29,573.64 × 11,502
  4. Step 4: Simplify right side
    19,715.76x = 340,156,007.28
  5. Step 5: Solve for x
    x = 340,156,007.28/19,715.76
  6. Step 6: Final answer
    x = 17,253

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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.