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Finding the Fourth Proportional to 6,689.92, 10,025.53 and 5,697.57

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Solution

The fourth proportional to 6,689.92, 10,025.53 and 5,697.57 is: 8,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.92 : 10,025.53 = 5,697.57 : x
  2. Step 2: Convert to fraction form
    6,689.92/10,025.53 = 5,697.57/x
  3. Step 3: Cross multiply
    6,689.92x = 10,025.53 × 5,697.57
  4. Step 4: Simplify right side
    6,689.92x = 57,121,158.96
  5. Step 5: Solve for x
    x = 57,121,158.96/6,689.92
  6. Step 6: Final answer
    x = 8,538.39

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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.