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Finding the Fourth Proportional to 7,167.89, 9,894.81 and 5,578.90

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Solution

The fourth proportional to 7,167.89, 9,894.81 and 5,578.90 is: 7,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.89 : 9,894.81 = 5,578.90 : x
  2. Step 2: Convert to fraction form
    7,167.89/9,894.81 = 5,578.90/x
  3. Step 3: Cross multiply
    7,167.89x = 9,894.81 × 5,578.90
  4. Step 4: Simplify right side
    7,167.89x = 55,202,148.14
  5. Step 5: Solve for x
    x = 55,202,148.14/7,167.89
  6. Step 6: Final answer
    x = 7,701.31

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Half scale
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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.