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Finding the Fourth Proportional to 5,113.92, 7,661 and 4,282.32

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Solution

The fourth proportional to 5,113.92, 7,661 and 4,282.32 is: 6,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.92 : 7,661 = 4,282.32 : x
  2. Step 2: Convert to fraction form
    5,113.92/7,661 = 4,282.32/x
  3. Step 3: Cross multiply
    5,113.92x = 7,661 × 4,282.32
  4. Step 4: Simplify right side
    5,113.92x = 32,806,853.52
  5. Step 5: Solve for x
    x = 32,806,853.52/5,113.92
  6. Step 6: Final answer
    x = 6,415.21

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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.