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Finding the Fourth Proportional to 5,138.40, 7,715.70 and 2,951.40

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Solution

The fourth proportional to 5,138.40, 7,715.70 and 2,951.40 is: 4,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.40 : 7,715.70 = 2,951.40 : x
  2. Step 2: Convert to fraction form
    5,138.40/7,715.70 = 2,951.40/x
  3. Step 3: Cross multiply
    5,138.40x = 7,715.70 × 2,951.40
  4. Step 4: Simplify right side
    5,138.40x = 22,772,116.98
  5. Step 5: Solve for x
    x = 22,772,116.98/5,138.40
  6. Step 6: Final answer
    x = 4,431.75

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1.5x scale

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.