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Finding the Fourth Proportional to 21,587, 32,380.50 and 6,005.03

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Solution

The fourth proportional to 21,587, 32,380.50 and 6,005.03 is: 9,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,587 : 32,380.50 = 6,005.03 : x
  2. Step 2: Convert to fraction form
    21,587/32,380.50 = 6,005.03/x
  3. Step 3: Cross multiply
    21,587x = 32,380.50 × 6,005.03
  4. Step 4: Simplify right side
    21,587x = 194,445,873.92
  5. Step 5: Solve for x
    x = 194,445,873.92/21,587
  6. Step 6: Final answer
    x = 9,007.55

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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.