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Finding the Fourth Proportional to 9,989.32, 13,786.32 and 6,214.90

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Solution

The fourth proportional to 9,989.32, 13,786.32 and 6,214.90 is: 8,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.32 : 13,786.32 = 6,214.90 : x
  2. Step 2: Convert to fraction form
    9,989.32/13,786.32 = 6,214.90/x
  3. Step 3: Cross multiply
    9,989.32x = 13,786.32 × 6,214.90
  4. Step 4: Simplify right side
    9,989.32x = 85,680,600.17
  5. Step 5: Solve for x
    x = 85,680,600.17/9,989.32
  6. Step 6: Final answer
    x = 8,577.22

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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.