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Finding the Fourth Proportional to 21,765.92, 32,648.88 and 10,076

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Solution

The fourth proportional to 21,765.92, 32,648.88 and 10,076 is: 15,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.92 : 32,648.88 = 10,076 : x
  2. Step 2: Convert to fraction form
    21,765.92/32,648.88 = 10,076/x
  3. Step 3: Cross multiply
    21,765.92x = 32,648.88 × 10,076
  4. Step 4: Simplify right side
    21,765.92x = 328,970,114.88
  5. Step 5: Solve for x
    x = 328,970,114.88/21,765.92
  6. Step 6: Final answer
    x = 15,114.00

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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.