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Finding the Fourth Proportional to 15,726, 21,702.92 and 9,102

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Solution

The fourth proportional to 15,726, 21,702.92 and 9,102 is: 12,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726 : 21,702.92 = 9,102 : x
  2. Step 2: Convert to fraction form
    15,726/21,702.92 = 9,102/x
  3. Step 3: Cross multiply
    15,726x = 21,702.92 × 9,102
  4. Step 4: Simplify right side
    15,726x = 197,539,977.84
  5. Step 5: Solve for x
    x = 197,539,977.84/15,726
  6. Step 6: Final answer
    x = 12,561.36

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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.