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Finding the Fourth Proportional to 9,911.25, 13,683.84 and 8,847.15

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Solution

The fourth proportional to 9,911.25, 13,683.84 and 8,847.15 is: 12,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.25 : 13,683.84 = 8,847.15 : x
  2. Step 2: Convert to fraction form
    9,911.25/13,683.84 = 8,847.15/x
  3. Step 3: Cross multiply
    9,911.25x = 13,683.84 × 8,847.15
  4. Step 4: Simplify right side
    9,911.25x = 121,062,985.06
  5. Step 5: Solve for x
    x = 121,062,985.06/9,911.25
  6. Step 6: Final answer
    x = 12,214.70

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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.