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Finding the Fourth Proportional to 10,521, 15,781.62 and 2,729.34

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Solution

The fourth proportional to 10,521, 15,781.62 and 2,729.34 is: 4,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 15,781.62 = 2,729.34 : x
  2. Step 2: Convert to fraction form
    10,521/15,781.62 = 2,729.34/x
  3. Step 3: Cross multiply
    10,521x = 15,781.62 × 2,729.34
  4. Step 4: Simplify right side
    10,521x = 43,073,406.73
  5. Step 5: Solve for x
    x = 43,073,406.73/10,521
  6. Step 6: Final answer
    x = 4,094.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.