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Finding the Fourth Proportional to 9,017.60, 12,438 and 8,274.02

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Solution

The fourth proportional to 9,017.60, 12,438 and 8,274.02 is: 11,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.60 : 12,438 = 8,274.02 : x
  2. Step 2: Convert to fraction form
    9,017.60/12,438 = 8,274.02/x
  3. Step 3: Cross multiply
    9,017.60x = 12,438 × 8,274.02
  4. Step 4: Simplify right side
    9,017.60x = 102,912,198.57
  5. Step 5: Solve for x
    x = 102,912,198.57/9,017.60
  6. Step 6: Final answer
    x = 11,412.38

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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.