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Finding the Fourth Proportional to 15,722.10, 21,695.58 and 8,648.10

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Solution

The fourth proportional to 15,722.10, 21,695.58 and 8,648.10 is: 11,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.10 : 21,695.58 = 8,648.10 : x
  2. Step 2: Convert to fraction form
    15,722.10/21,695.58 = 8,648.10/x
  3. Step 3: Cross multiply
    15,722.10x = 21,695.58 × 8,648.10
  4. Step 4: Simplify right side
    15,722.10x = 187,625,545.40
  5. Step 5: Solve for x
    x = 187,625,545.40/15,722.10
  6. Step 6: Final answer
    x = 11,933.87

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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.