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Finding the Fourth Proportional to 21,414.98, 32,122.47 and 9,720

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Solution

The fourth proportional to 21,414.98, 32,122.47 and 9,720 is: 14,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.98 : 32,122.47 = 9,720 : x
  2. Step 2: Convert to fraction form
    21,414.98/32,122.47 = 9,720/x
  3. Step 3: Cross multiply
    21,414.98x = 32,122.47 × 9,720
  4. Step 4: Simplify right side
    21,414.98x = 312,230,444.85
  5. Step 5: Solve for x
    x = 312,230,444.85/21,414.98
  6. Step 6: Final answer
    x = 14,580.00

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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.