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Finding the Fourth Proportional to 7,406.20, 10,207.82 and 6,702.20

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Solution

The fourth proportional to 7,406.20, 10,207.82 and 6,702.20 is: 9,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.20 : 10,207.82 = 6,702.20 : x
  2. Step 2: Convert to fraction form
    7,406.20/10,207.82 = 6,702.20/x
  3. Step 3: Cross multiply
    7,406.20x = 10,207.82 × 6,702.20
  4. Step 4: Simplify right side
    7,406.20x = 68,414,851.20
  5. Step 5: Solve for x
    x = 68,414,851.20/7,406.20
  6. Step 6: Final answer
    x = 9,237.51

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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.