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Finding the Fourth Proportional to 21,285, 29,359.98 and 15,307.20

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Solution

The fourth proportional to 21,285, 29,359.98 and 15,307.20 is: 21,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 29,359.98 = 15,307.20 : x
  2. Step 2: Convert to fraction form
    21,285/29,359.98 = 15,307.20/x
  3. Step 3: Cross multiply
    21,285x = 29,359.98 × 15,307.20
  4. Step 4: Simplify right side
    21,285x = 449,419,085.86
  5. Step 5: Solve for x
    x = 449,419,085.86/21,285
  6. Step 6: Final answer
    x = 21,114.36

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1.5x scale

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.