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Finding the Fourth Proportional to 8,840, 12,200 and 5,064.38

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Solution

The fourth proportional to 8,840, 12,200 and 5,064.38 is: 6,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840 : 12,200 = 5,064.38 : x
  2. Step 2: Convert to fraction form
    8,840/12,200 = 5,064.38/x
  3. Step 3: Cross multiply
    8,840x = 12,200 × 5,064.38
  4. Step 4: Simplify right side
    8,840x = 61,785,436
  5. Step 5: Solve for x
    x = 61,785,436/8,840
  6. Step 6: Final answer
    x = 6,989.30

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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.