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Finding the Fourth Proportional to 6,340.62, 8,730.18 and 5,757.42

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Solution

The fourth proportional to 6,340.62, 8,730.18 and 5,757.42 is: 7,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.62 : 8,730.18 = 5,757.42 : x
  2. Step 2: Convert to fraction form
    6,340.62/8,730.18 = 5,757.42/x
  3. Step 3: Cross multiply
    6,340.62x = 8,730.18 × 5,757.42
  4. Step 4: Simplify right side
    6,340.62x = 50,263,312.94
  5. Step 5: Solve for x
    x = 50,263,312.94/6,340.62
  6. Step 6: Final answer
    x = 7,927.19

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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.