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Finding the Fourth Proportional to 9,898.75, 13,659.87 and 5,922.06

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Solution

The fourth proportional to 9,898.75, 13,659.87 and 5,922.06 is: 8,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.75 : 13,659.87 = 5,922.06 : x
  2. Step 2: Convert to fraction form
    9,898.75/13,659.87 = 5,922.06/x
  3. Step 3: Cross multiply
    9,898.75x = 13,659.87 × 5,922.06
  4. Step 4: Simplify right side
    9,898.75x = 80,894,569.73
  5. Step 5: Solve for x
    x = 80,894,569.73/9,898.75
  6. Step 6: Final answer
    x = 8,172.20

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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.