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Finding the Fourth Proportional to 38,863.52, 53,538 and 30,903.20

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Solution

The fourth proportional to 38,863.52, 53,538 and 30,903.20 is: 42,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,863.52 : 53,538 = 30,903.20 : x
  2. Step 2: Convert to fraction form
    38,863.52/53,538 = 30,903.20/x
  3. Step 3: Cross multiply
    38,863.52x = 53,538 × 30,903.20
  4. Step 4: Simplify right side
    38,863.52x = 1,654,495,521.60
  5. Step 5: Solve for x
    x = 1,654,495,521.60/38,863.52
  6. Step 6: Final answer
    x = 42,571.94

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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.