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Finding the Fourth Proportional to 15,726, 21,714.84 and 13,759.32

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Solution

The fourth proportional to 15,726, 21,714.84 and 13,759.32 is: 18,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726 : 21,714.84 = 13,759.32 : x
  2. Step 2: Convert to fraction form
    15,726/21,714.84 = 13,759.32/x
  3. Step 3: Cross multiply
    15,726x = 21,714.84 × 13,759.32
  4. Step 4: Simplify right side
    15,726x = 298,781,432.31
  5. Step 5: Solve for x
    x = 298,781,432.31/15,726
  6. Step 6: Final answer
    x = 18,999.20

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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.