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Finding the Fourth Proportional to 9,141.71, 13,685.84 and 8,266.23

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Solution

The fourth proportional to 9,141.71, 13,685.84 and 8,266.23 is: 12,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.71 : 13,685.84 = 8,266.23 : x
  2. Step 2: Convert to fraction form
    9,141.71/13,685.84 = 8,266.23/x
  3. Step 3: Cross multiply
    9,141.71x = 13,685.84 × 8,266.23
  4. Step 4: Simplify right side
    9,141.71x = 113,130,259.85
  5. Step 5: Solve for x
    x = 113,130,259.85/9,141.71
  6. Step 6: Final answer
    x = 12,375.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.