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Finding the Fourth Proportional to 15,732.21, 21,710.88 and 8,659.07

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Solution

The fourth proportional to 15,732.21, 21,710.88 and 8,659.07 is: 11,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.21 : 21,710.88 = 8,659.07 : x
  2. Step 2: Convert to fraction form
    15,732.21/21,710.88 = 8,659.07/x
  3. Step 3: Cross multiply
    15,732.21x = 21,710.88 × 8,659.07
  4. Step 4: Simplify right side
    15,732.21x = 187,995,921.13
  5. Step 5: Solve for x
    x = 187,995,921.13/15,732.21
  6. Step 6: Final answer
    x = 11,949.75

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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.