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Finding the Fourth Proportional to 8,237.80, 11,371.62 and 5,253.80

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Solution

The fourth proportional to 8,237.80, 11,371.62 and 5,253.80 is: 7,252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.80 : 11,371.62 = 5,253.80 : x
  2. Step 2: Convert to fraction form
    8,237.80/11,371.62 = 5,253.80/x
  3. Step 3: Cross multiply
    8,237.80x = 11,371.62 × 5,253.80
  4. Step 4: Simplify right side
    8,237.80x = 59,744,217.16
  5. Step 5: Solve for x
    x = 59,744,217.16/8,237.80
  6. Step 6: Final answer
    x = 7,252.45

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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.