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Finding the Fourth Proportional to 8,469.68, 12,718.96 and 5,513.16

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Solution

The fourth proportional to 8,469.68, 12,718.96 and 5,513.16 is: 8,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.68 : 12,718.96 = 5,513.16 : x
  2. Step 2: Convert to fraction form
    8,469.68/12,718.96 = 5,513.16/x
  3. Step 3: Cross multiply
    8,469.68x = 12,718.96 × 5,513.16
  4. Step 4: Simplify right side
    8,469.68x = 70,121,661.51
  5. Step 5: Solve for x
    x = 70,121,661.51/8,469.68
  6. Step 6: Final answer
    x = 8,279.14

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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.