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Finding the Fourth Proportional to 15,722.13, 21,697.14 and 8,648.40

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Solution

The fourth proportional to 15,722.13, 21,697.14 and 8,648.40 is: 11,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.13 : 21,697.14 = 8,648.40 : x
  2. Step 2: Convert to fraction form
    15,722.13/21,697.14 = 8,648.40/x
  3. Step 3: Cross multiply
    15,722.13x = 21,697.14 × 8,648.40
  4. Step 4: Simplify right side
    15,722.13x = 187,645,545.58
  5. Step 5: Solve for x
    x = 187,645,545.58/15,722.13
  6. Step 6: Final answer
    x = 11,935.12

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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.