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Finding the Fourth Proportional to 7,761.76, 10,711.26 and 4,225

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Solution

The fourth proportional to 7,761.76, 10,711.26 and 4,225 is: 5,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.76 : 10,711.26 = 4,225 : x
  2. Step 2: Convert to fraction form
    7,761.76/10,711.26 = 4,225/x
  3. Step 3: Cross multiply
    7,761.76x = 10,711.26 × 4,225
  4. Step 4: Simplify right side
    7,761.76x = 45,255,073.50
  5. Step 5: Solve for x
    x = 45,255,073.50/7,761.76
  6. Step 6: Final answer
    x = 5,830.52

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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.