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Finding the Fourth Proportional to 23,703.60, 32,721.48 and 15,642

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Solution

The fourth proportional to 23,703.60, 32,721.48 and 15,642 is: 21,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703.60 : 32,721.48 = 15,642 : x
  2. Step 2: Convert to fraction form
    23,703.60/32,721.48 = 15,642/x
  3. Step 3: Cross multiply
    23,703.60x = 32,721.48 × 15,642
  4. Step 4: Simplify right side
    23,703.60x = 511,829,390.16
  5. Step 5: Solve for x
    x = 511,829,390.16/23,703.60
  6. Step 6: Final answer
    x = 21,592.90

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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.