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Finding the Fourth Proportional to 23,657.90, 32,647.92 and 12,902.78

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Solution

The fourth proportional to 23,657.90, 32,647.92 and 12,902.78 is: 17,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.90 : 32,647.92 = 12,902.78 : x
  2. Step 2: Convert to fraction form
    23,657.90/32,647.92 = 12,902.78/x
  3. Step 3: Cross multiply
    23,657.90x = 32,647.92 × 12,902.78
  4. Step 4: Simplify right side
    23,657.90x = 421,248,929.22
  5. Step 5: Solve for x
    x = 421,248,929.22/23,657.90
  6. Step 6: Final answer
    x = 17,805.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.