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Finding the Fourth Proportional to 22,121.76, 30,569.76 and 17,443.20

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Solution

The fourth proportional to 22,121.76, 30,569.76 and 17,443.20 is: 24,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,121.76 : 30,569.76 = 17,443.20 : x
  2. Step 2: Convert to fraction form
    22,121.76/30,569.76 = 17,443.20/x
  3. Step 3: Cross multiply
    22,121.76x = 30,569.76 × 17,443.20
  4. Step 4: Simplify right side
    22,121.76x = 533,234,437.63
  5. Step 5: Solve for x
    x = 533,234,437.63/22,121.76
  6. Step 6: Final answer
    x = 24,104.52

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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.