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Finding the Fourth Proportional to 21,228, 31,617.76 and 20,117.76

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Solution

The fourth proportional to 21,228, 31,617.76 and 20,117.76 is: 29,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,228 : 31,617.76 = 20,117.76 : x
  2. Step 2: Convert to fraction form
    21,228/31,617.76 = 20,117.76/x
  3. Step 3: Cross multiply
    21,228x = 31,617.76 × 20,117.76
  4. Step 4: Simplify right side
    21,228x = 636,078,507.42
  5. Step 5: Solve for x
    x = 636,078,507.42/21,228
  6. Step 6: Final answer
    x = 29,964.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.