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Finding the Fourth Proportional to 29,248.96, 40,364 and 17,312

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Solution

The fourth proportional to 29,248.96, 40,364 and 17,312 is: 23,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,248.96 : 40,364 = 17,312 : x
  2. Step 2: Convert to fraction form
    29,248.96/40,364 = 17,312/x
  3. Step 3: Cross multiply
    29,248.96x = 40,364 × 17,312
  4. Step 4: Simplify right side
    29,248.96x = 698,781,568
  5. Step 5: Solve for x
    x = 698,781,568/29,248.96
  6. Step 6: Final answer
    x = 23,890.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.