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Finding the Fourth Proportional to 7,137, 10,701 and 3,440.16

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Solution

The fourth proportional to 7,137, 10,701 and 3,440.16 is: 5,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137 : 10,701 = 3,440.16 : x
  2. Step 2: Convert to fraction form
    7,137/10,701 = 3,440.16/x
  3. Step 3: Cross multiply
    7,137x = 10,701 × 3,440.16
  4. Step 4: Simplify right side
    7,137x = 36,813,152.16
  5. Step 5: Solve for x
    x = 36,813,152.16/7,137
  6. Step 6: Final answer
    x = 5,158.07

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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.