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Finding the Fourth Proportional to 7,780.78, 10,737.30 and 4,243.96

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Solution

The fourth proportional to 7,780.78, 10,737.30 and 4,243.96 is: 5,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.78 : 10,737.30 = 4,243.96 : x
  2. Step 2: Convert to fraction form
    7,780.78/10,737.30 = 4,243.96/x
  3. Step 3: Cross multiply
    7,780.78x = 10,737.30 × 4,243.96
  4. Step 4: Simplify right side
    7,780.78x = 45,568,671.71
  5. Step 5: Solve for x
    x = 45,568,671.71/7,780.78
  6. Step 6: Final answer
    x = 5,856.57

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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.