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Finding the Fourth Proportional to 38,480, 57,422.24 and 34,332.80

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Solution

The fourth proportional to 38,480, 57,422.24 and 34,332.80 is: 51,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480 : 57,422.24 = 34,332.80 : x
  2. Step 2: Convert to fraction form
    38,480/57,422.24 = 34,332.80/x
  3. Step 3: Cross multiply
    38,480x = 57,422.24 × 34,332.80
  4. Step 4: Simplify right side
    38,480x = 1,971,466,281.47
  5. Step 5: Solve for x
    x = 1,971,466,281.47/38,480
  6. Step 6: Final answer
    x = 51,233.53

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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.