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Finding the Fourth Proportional to 5,296.32, 7,311 and 3,862.80

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Solution

The fourth proportional to 5,296.32, 7,311 and 3,862.80 is: 5,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.32 : 7,311 = 3,862.80 : x
  2. Step 2: Convert to fraction form
    5,296.32/7,311 = 3,862.80/x
  3. Step 3: Cross multiply
    5,296.32x = 7,311 × 3,862.80
  4. Step 4: Simplify right side
    5,296.32x = 28,240,930.80
  5. Step 5: Solve for x
    x = 28,240,930.80/5,296.32
  6. Step 6: Final answer
    x = 5,332.18

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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.