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Finding the Fourth Proportional to 38,634, 53,314.92 and 20,970

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Solution

The fourth proportional to 38,634, 53,314.92 and 20,970 is: 28,938.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,634 : 53,314.92 = 20,970 : x
  2. Step 2: Convert to fraction form
    38,634/53,314.92 = 20,970/x
  3. Step 3: Cross multiply
    38,634x = 53,314.92 × 20,970
  4. Step 4: Simplify right side
    38,634x = 1,118,013,872.40
  5. Step 5: Solve for x
    x = 1,118,013,872.40/38,634
  6. Step 6: Final answer
    x = 28,938.60

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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.