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Finding the Fourth Proportional to 29,308.66, 40,445.96 and 15,880

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Solution

The fourth proportional to 29,308.66, 40,445.96 and 15,880 is: 21,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,308.66 : 40,445.96 = 15,880 : x
  2. Step 2: Convert to fraction form
    29,308.66/40,445.96 = 15,880/x
  3. Step 3: Cross multiply
    29,308.66x = 40,445.96 × 15,880
  4. Step 4: Simplify right side
    29,308.66x = 642,281,844.80
  5. Step 5: Solve for x
    x = 642,281,844.80/29,308.66
  6. Step 6: Final answer
    x = 21,914.40

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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.