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Finding the Fourth Proportional to 5,138.70, 7,708.32 and 2,946.84

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Solution

The fourth proportional to 5,138.70, 7,708.32 and 2,946.84 is: 4,420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.70 : 7,708.32 = 2,946.84 : x
  2. Step 2: Convert to fraction form
    5,138.70/7,708.32 = 2,946.84/x
  3. Step 3: Cross multiply
    5,138.70x = 7,708.32 × 2,946.84
  4. Step 4: Simplify right side
    5,138.70x = 22,715,185.71
  5. Step 5: Solve for x
    x = 22,715,185.71/5,138.70
  6. Step 6: Final answer
    x = 4,420.41

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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.