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Finding the Fourth Proportional to 29,287, 40,416 and 15,858.25

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Solution

The fourth proportional to 29,287, 40,416 and 15,858.25 is: 21,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,287 : 40,416 = 15,858.25 : x
  2. Step 2: Convert to fraction form
    29,287/40,416 = 15,858.25/x
  3. Step 3: Cross multiply
    29,287x = 40,416 × 15,858.25
  4. Step 4: Simplify right side
    29,287x = 640,927,032
  5. Step 5: Solve for x
    x = 640,927,032/29,287
  6. Step 6: Final answer
    x = 21,884.35

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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.