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Finding the Fourth Proportional to 21,390.92, 32,086.40 and 7,541

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Solution

The fourth proportional to 21,390.92, 32,086.40 and 7,541 is: 11,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.92 : 32,086.40 = 7,541 : x
  2. Step 2: Convert to fraction form
    21,390.92/32,086.40 = 7,541/x
  3. Step 3: Cross multiply
    21,390.92x = 32,086.40 × 7,541
  4. Step 4: Simplify right side
    21,390.92x = 241,963,542.40
  5. Step 5: Solve for x
    x = 241,963,542.40/21,390.92
  6. Step 6: Final answer
    x = 11,311.51

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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.