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Finding the Fourth Proportional to 11,209.68, 15,469.38 and 6,494.40

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Solution

The fourth proportional to 11,209.68, 15,469.38 and 6,494.40 is: 8,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.68 : 15,469.38 = 6,494.40 : x
  2. Step 2: Convert to fraction form
    11,209.68/15,469.38 = 6,494.40/x
  3. Step 3: Cross multiply
    11,209.68x = 15,469.38 × 6,494.40
  4. Step 4: Simplify right side
    11,209.68x = 100,464,341.47
  5. Step 5: Solve for x
    x = 100,464,341.47/11,209.68
  6. Step 6: Final answer
    x = 8,962.28

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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.