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Finding the Fourth Proportional to 6,493.40, 9,723.90 and 4,290.20

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Solution

The fourth proportional to 6,493.40, 9,723.90 and 4,290.20 is: 6,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.40 : 9,723.90 = 4,290.20 : x
  2. Step 2: Convert to fraction form
    6,493.40/9,723.90 = 4,290.20/x
  3. Step 3: Cross multiply
    6,493.40x = 9,723.90 × 4,290.20
  4. Step 4: Simplify right side
    6,493.40x = 41,717,475.78
  5. Step 5: Solve for x
    x = 41,717,475.78/6,493.40
  6. Step 6: Final answer
    x = 6,424.60

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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.