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Finding the Fourth Proportional to 10,641.35, 14,683.02 and 6,863.78

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Solution

The fourth proportional to 10,641.35, 14,683.02 and 6,863.78 is: 9,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.35 : 14,683.02 = 6,863.78 : x
  2. Step 2: Convert to fraction form
    10,641.35/14,683.02 = 6,863.78/x
  3. Step 3: Cross multiply
    10,641.35x = 14,683.02 × 6,863.78
  4. Step 4: Simplify right side
    10,641.35x = 100,780,945.60
  5. Step 5: Solve for x
    x = 100,780,945.60/10,641.35
  6. Step 6: Final answer
    x = 9,470.70

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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.