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Finding the Fourth Proportional to 9,315.52, 13,982.72 and 8,268.16

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Solution

The fourth proportional to 9,315.52, 13,982.72 and 8,268.16 is: 12,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.52 : 13,982.72 = 8,268.16 : x
  2. Step 2: Convert to fraction form
    9,315.52/13,982.72 = 8,268.16/x
  3. Step 3: Cross multiply
    9,315.52x = 13,982.72 × 8,268.16
  4. Step 4: Simplify right side
    9,315.52x = 115,611,366.20
  5. Step 5: Solve for x
    x = 115,611,366.20/9,315.52
  6. Step 6: Final answer
    x = 12,410.62

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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.