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Finding the Fourth Proportional to 12,937.70, 19,414.07 and 5,440.71

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Solution

The fourth proportional to 12,937.70, 19,414.07 and 5,440.71 is: 8,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.70 : 19,414.07 = 5,440.71 : x
  2. Step 2: Convert to fraction form
    12,937.70/19,414.07 = 5,440.71/x
  3. Step 3: Cross multiply
    12,937.70x = 19,414.07 × 5,440.71
  4. Step 4: Simplify right side
    12,937.70x = 105,626,324.79
  5. Step 5: Solve for x
    x = 105,626,324.79/12,937.70
  6. Step 6: Final answer
    x = 8,164.23

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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.