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Finding the Fourth Proportional to 5,227.40, 7,213.72 and 2,869.40

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Solution

The fourth proportional to 5,227.40, 7,213.72 and 2,869.40 is: 3,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.40 : 7,213.72 = 2,869.40 : x
  2. Step 2: Convert to fraction form
    5,227.40/7,213.72 = 2,869.40/x
  3. Step 3: Cross multiply
    5,227.40x = 7,213.72 × 2,869.40
  4. Step 4: Simplify right side
    5,227.40x = 20,699,048.17
  5. Step 5: Solve for x
    x = 20,699,048.17/5,227.40
  6. Step 6: Final answer
    x = 3,959.72

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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.