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Finding the Fourth Proportional to 9,891.71, 13,650.74 and 6,114.78

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Solution

The fourth proportional to 9,891.71, 13,650.74 and 6,114.78 is: 8,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.71 : 13,650.74 = 6,114.78 : x
  2. Step 2: Convert to fraction form
    9,891.71/13,650.74 = 6,114.78/x
  3. Step 3: Cross multiply
    9,891.71x = 13,650.74 × 6,114.78
  4. Step 4: Simplify right side
    9,891.71x = 83,471,241.36
  5. Step 5: Solve for x
    x = 83,471,241.36/9,891.71
  6. Step 6: Final answer
    x = 8,438.50

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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.