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Finding the Fourth Proportional to 21,851.70, 32,750.10 and 9,357

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Solution

The fourth proportional to 21,851.70, 32,750.10 and 9,357 is: 14,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.70 : 32,750.10 = 9,357 : x
  2. Step 2: Convert to fraction form
    21,851.70/32,750.10 = 9,357/x
  3. Step 3: Cross multiply
    21,851.70x = 32,750.10 × 9,357
  4. Step 4: Simplify right side
    21,851.70x = 306,442,685.70
  5. Step 5: Solve for x
    x = 306,442,685.70/21,851.70
  6. Step 6: Final answer
    x = 14,023.75

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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.