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Finding the Fourth Proportional to 38,439, 53,045.82 and 20,775

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Solution

The fourth proportional to 38,439, 53,045.82 and 20,775 is: 28,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,439 : 53,045.82 = 20,775 : x
  2. Step 2: Convert to fraction form
    38,439/53,045.82 = 20,775/x
  3. Step 3: Cross multiply
    38,439x = 53,045.82 × 20,775
  4. Step 4: Simplify right side
    38,439x = 1,102,026,910.50
  5. Step 5: Solve for x
    x = 1,102,026,910.50/38,439
  6. Step 6: Final answer
    x = 28,669.50

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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.