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Finding the Fourth Proportional to 7,278.70, 10,045.70 and 4,447.71

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Solution

The fourth proportional to 7,278.70, 10,045.70 and 4,447.71 is: 6,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.70 : 10,045.70 = 4,447.71 : x
  2. Step 2: Convert to fraction form
    7,278.70/10,045.70 = 4,447.71/x
  3. Step 3: Cross multiply
    7,278.70x = 10,045.70 × 4,447.71
  4. Step 4: Simplify right side
    7,278.70x = 44,680,350.67
  5. Step 5: Solve for x
    x = 44,680,350.67/7,278.70
  6. Step 6: Final answer
    x = 6,138.51

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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.