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Finding the Fourth Proportional to 29,688, 40,972.32 and 16,440

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Solution

The fourth proportional to 29,688, 40,972.32 and 16,440 is: 22,688.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 40,972.32 = 16,440 : x
  2. Step 2: Convert to fraction form
    29,688/40,972.32 = 16,440/x
  3. Step 3: Cross multiply
    29,688x = 40,972.32 × 16,440
  4. Step 4: Simplify right side
    29,688x = 673,584,940.80
  5. Step 5: Solve for x
    x = 673,584,940.80/29,688
  6. Step 6: Final answer
    x = 22,688.79

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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.