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Finding the Fourth Proportional to 9,140.80, 12,635.04 and 8,415.04

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Solution

The fourth proportional to 9,140.80, 12,635.04 and 8,415.04 is: 11,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.80 : 12,635.04 = 8,415.04 : x
  2. Step 2: Convert to fraction form
    9,140.80/12,635.04 = 8,415.04/x
  3. Step 3: Cross multiply
    9,140.80x = 12,635.04 × 8,415.04
  4. Step 4: Simplify right side
    9,140.80x = 106,324,367.00
  5. Step 5: Solve for x
    x = 106,324,367.00/9,140.80
  6. Step 6: Final answer
    x = 11,631.84

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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.