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Finding the Fourth Proportional to 28,277, 39,023.88 and 15,702.56

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Solution

The fourth proportional to 28,277, 39,023.88 and 15,702.56 is: 21,670.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,277 : 39,023.88 = 15,702.56 : x
  2. Step 2: Convert to fraction form
    28,277/39,023.88 = 15,702.56/x
  3. Step 3: Cross multiply
    28,277x = 39,023.88 × 15,702.56
  4. Step 4: Simplify right side
    28,277x = 612,774,817.13
  5. Step 5: Solve for x
    x = 612,774,817.13/28,277
  6. Step 6: Final answer
    x = 21,670.43

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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.