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Finding the Fourth Proportional to 22,780.70, 31,390.71 and 16,802.90

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Solution

The fourth proportional to 22,780.70, 31,390.71 and 16,802.90 is: 23,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.70 : 31,390.71 = 16,802.90 : x
  2. Step 2: Convert to fraction form
    22,780.70/31,390.71 = 16,802.90/x
  3. Step 3: Cross multiply
    22,780.70x = 31,390.71 × 16,802.90
  4. Step 4: Simplify right side
    22,780.70x = 527,454,961.06
  5. Step 5: Solve for x
    x = 527,454,961.06/22,780.70
  6. Step 6: Final answer
    x = 23,153.59

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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.