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Finding the Fourth Proportional to 21,283.80, 31,925.76 and 7,432.80

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Solution

The fourth proportional to 21,283.80, 31,925.76 and 7,432.80 is: 11,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.80 : 31,925.76 = 7,432.80 : x
  2. Step 2: Convert to fraction form
    21,283.80/31,925.76 = 7,432.80/x
  3. Step 3: Cross multiply
    21,283.80x = 31,925.76 × 7,432.80
  4. Step 4: Simplify right side
    21,283.80x = 237,297,788.93
  5. Step 5: Solve for x
    x = 237,297,788.93/21,283.80
  6. Step 6: Final answer
    x = 11,149.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.