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Finding the Fourth Proportional to 7,160.87, 10,749.16 and 5,689.55

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Solution

The fourth proportional to 7,160.87, 10,749.16 and 5,689.55 is: 8,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.87 : 10,749.16 = 5,689.55 : x
  2. Step 2: Convert to fraction form
    7,160.87/10,749.16 = 5,689.55/x
  3. Step 3: Cross multiply
    7,160.87x = 10,749.16 × 5,689.55
  4. Step 4: Simplify right side
    7,160.87x = 61,157,883.28
  5. Step 5: Solve for x
    x = 61,157,883.28/7,160.87
  6. Step 6: Final answer
    x = 8,540.57

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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.