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Finding the Fourth Proportional to 15,817.01, 21,828.42 and 9,102.44

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Solution

The fourth proportional to 15,817.01, 21,828.42 and 9,102.44 is: 12,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.01 : 21,828.42 = 9,102.44 : x
  2. Step 2: Convert to fraction form
    15,817.01/21,828.42 = 9,102.44/x
  3. Step 3: Cross multiply
    15,817.01x = 21,828.42 × 9,102.44
  4. Step 4: Simplify right side
    15,817.01x = 198,691,937.92
  5. Step 5: Solve for x
    x = 198,691,937.92/15,817.01
  6. Step 6: Final answer
    x = 12,561.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.