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Finding the Fourth Proportional to 21,392.88, 32,090.28 and 7,542

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Solution

The fourth proportional to 21,392.88, 32,090.28 and 7,542 is: 11,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.88 : 32,090.28 = 7,542 : x
  2. Step 2: Convert to fraction form
    21,392.88/32,090.28 = 7,542/x
  3. Step 3: Cross multiply
    21,392.88x = 32,090.28 × 7,542
  4. Step 4: Simplify right side
    21,392.88x = 242,024,891.76
  5. Step 5: Solve for x
    x = 242,024,891.76/21,392.88
  6. Step 6: Final answer
    x = 11,313.34

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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.