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Finding the Fourth Proportional to 8,531.96, 11,763.48 and 7,117.70

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Solution

The fourth proportional to 8,531.96, 11,763.48 and 7,117.70 is: 9,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.96 : 11,763.48 = 7,117.70 : x
  2. Step 2: Convert to fraction form
    8,531.96/11,763.48 = 7,117.70/x
  3. Step 3: Cross multiply
    8,531.96x = 11,763.48 × 7,117.70
  4. Step 4: Simplify right side
    8,531.96x = 83,728,921.60
  5. Step 5: Solve for x
    x = 83,728,921.60/8,531.96
  6. Step 6: Final answer
    x = 9,813.56

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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.