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Finding the Fourth Proportional to 9,002.75, 12,422.31 and 8,276.93

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Solution

The fourth proportional to 9,002.75, 12,422.31 and 8,276.93 is: 11,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.75 : 12,422.31 = 8,276.93 : x
  2. Step 2: Convert to fraction form
    9,002.75/12,422.31 = 8,276.93/x
  3. Step 3: Cross multiply
    9,002.75x = 12,422.31 × 8,276.93
  4. Step 4: Simplify right side
    9,002.75x = 102,818,660.18
  5. Step 5: Solve for x
    x = 102,818,660.18/9,002.75
  6. Step 6: Final answer
    x = 11,420.81

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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.