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Finding the Fourth Proportional to 9,919.17, 13,687.92 and 5,442.84

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Solution

The fourth proportional to 9,919.17, 13,687.92 and 5,442.84 is: 7,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.17 : 13,687.92 = 5,442.84 : x
  2. Step 2: Convert to fraction form
    9,919.17/13,687.92 = 5,442.84/x
  3. Step 3: Cross multiply
    9,919.17x = 13,687.92 × 5,442.84
  4. Step 4: Simplify right side
    9,919.17x = 74,501,158.49
  5. Step 5: Solve for x
    x = 74,501,158.49/9,919.17
  6. Step 6: Final answer
    x = 7,510.83

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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.