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Finding the Fourth Proportional to 6,340.20, 9,502.20 and 5,643.60

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Solution

The fourth proportional to 6,340.20, 9,502.20 and 5,643.60 is: 8,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.20 : 9,502.20 = 5,643.60 : x
  2. Step 2: Convert to fraction form
    6,340.20/9,502.20 = 5,643.60/x
  3. Step 3: Cross multiply
    6,340.20x = 9,502.20 × 5,643.60
  4. Step 4: Simplify right side
    6,340.20x = 53,626,615.92
  5. Step 5: Solve for x
    x = 53,626,615.92/6,340.20
  6. Step 6: Final answer
    x = 8,458.19

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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.