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Finding the Fourth Proportional to 9,178.40, 12,660.54 and 8,002.28

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Solution

The fourth proportional to 9,178.40, 12,660.54 and 8,002.28 is: 11,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.40 : 12,660.54 = 8,002.28 : x
  2. Step 2: Convert to fraction form
    9,178.40/12,660.54 = 8,002.28/x
  3. Step 3: Cross multiply
    9,178.40x = 12,660.54 × 8,002.28
  4. Step 4: Simplify right side
    9,178.40x = 101,313,122.73
  5. Step 5: Solve for x
    x = 101,313,122.73/9,178.40
  6. Step 6: Final answer
    x = 11,038.22

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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.