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Finding the Fourth Proportional to 5,631.24, 7,763.88 and 3,859.76

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Solution

The fourth proportional to 5,631.24, 7,763.88 and 3,859.76 is: 5,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.24 : 7,763.88 = 3,859.76 : x
  2. Step 2: Convert to fraction form
    5,631.24/7,763.88 = 3,859.76/x
  3. Step 3: Cross multiply
    5,631.24x = 7,763.88 × 3,859.76
  4. Step 4: Simplify right side
    5,631.24x = 29,966,713.47
  5. Step 5: Solve for x
    x = 29,966,713.47/5,631.24
  6. Step 6: Final answer
    x = 5,321.51

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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.