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Finding the Fourth Proportional to 7,495.70, 10,344.11 and 4,138.62

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Solution

The fourth proportional to 7,495.70, 10,344.11 and 4,138.62 is: 5,711.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.70 : 10,344.11 = 4,138.62 : x
  2. Step 2: Convert to fraction form
    7,495.70/10,344.11 = 4,138.62/x
  3. Step 3: Cross multiply
    7,495.70x = 10,344.11 × 4,138.62
  4. Step 4: Simplify right side
    7,495.70x = 42,810,319.84
  5. Step 5: Solve for x
    x = 42,810,319.84/7,495.70
  6. Step 6: Final answer
    x = 5,711.32

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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.