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Finding the Fourth Proportional to 9,230.42, 13,895.50 and 8,426.90

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Solution

The fourth proportional to 9,230.42, 13,895.50 and 8,426.90 is: 12,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.42 : 13,895.50 = 8,426.90 : x
  2. Step 2: Convert to fraction form
    9,230.42/13,895.50 = 8,426.90/x
  3. Step 3: Cross multiply
    9,230.42x = 13,895.50 × 8,426.90
  4. Step 4: Simplify right side
    9,230.42x = 117,095,988.95
  5. Step 5: Solve for x
    x = 117,095,988.95/9,230.42
  6. Step 6: Final answer
    x = 12,685.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.