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Finding the Fourth Proportional to 9,188.80, 13,708.16 and 7,892.80

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Solution

The fourth proportional to 9,188.80, 13,708.16 and 7,892.80 is: 11,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.80 : 13,708.16 = 7,892.80 : x
  2. Step 2: Convert to fraction form
    9,188.80/13,708.16 = 7,892.80/x
  3. Step 3: Cross multiply
    9,188.80x = 13,708.16 × 7,892.80
  4. Step 4: Simplify right side
    9,188.80x = 108,195,765.25
  5. Step 5: Solve for x
    x = 108,195,765.25/9,188.80
  6. Step 6: Final answer
    x = 11,774.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.