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Finding the Fourth Proportional to 9,321.76, 13,983.18 and 2,748.16

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Solution

The fourth proportional to 9,321.76, 13,983.18 and 2,748.16 is: 4,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.76 : 13,983.18 = 2,748.16 : x
  2. Step 2: Convert to fraction form
    9,321.76/13,983.18 = 2,748.16/x
  3. Step 3: Cross multiply
    9,321.76x = 13,983.18 × 2,748.16
  4. Step 4: Simplify right side
    9,321.76x = 38,428,015.95
  5. Step 5: Solve for x
    x = 38,428,015.95/9,321.76
  6. Step 6: Final answer
    x = 4,122.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.