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Finding the Fourth Proportional to 8,920.40, 12,306.20 and 6,269.54

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Solution

The fourth proportional to 8,920.40, 12,306.20 and 6,269.54 is: 8,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.40 : 12,306.20 = 6,269.54 : x
  2. Step 2: Convert to fraction form
    8,920.40/12,306.20 = 6,269.54/x
  3. Step 3: Cross multiply
    8,920.40x = 12,306.20 × 6,269.54
  4. Step 4: Simplify right side
    8,920.40x = 77,154,213.15
  5. Step 5: Solve for x
    x = 77,154,213.15/8,920.40
  6. Step 6: Final answer
    x = 8,649.19

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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.