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Finding the Fourth Proportional to 22,800, 31,465.08 and 12,728.76

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Solution

The fourth proportional to 22,800, 31,465.08 and 12,728.76 is: 17,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800 : 31,465.08 = 12,728.76 : x
  2. Step 2: Convert to fraction form
    22,800/31,465.08 = 12,728.76/x
  3. Step 3: Cross multiply
    22,800x = 31,465.08 × 12,728.76
  4. Step 4: Simplify right side
    22,800x = 400,511,451.70
  5. Step 5: Solve for x
    x = 400,511,451.70/22,800
  6. Step 6: Final answer
    x = 17,566.29

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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.