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Finding the Fourth Proportional to 6,290.56, 8,681.22 and 3,496

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Solution

The fourth proportional to 6,290.56, 8,681.22 and 3,496 is: 4,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.56 : 8,681.22 = 3,496 : x
  2. Step 2: Convert to fraction form
    6,290.56/8,681.22 = 3,496/x
  3. Step 3: Cross multiply
    6,290.56x = 8,681.22 × 3,496
  4. Step 4: Simplify right side
    6,290.56x = 30,349,545.12
  5. Step 5: Solve for x
    x = 30,349,545.12/6,290.56
  6. Step 6: Final answer
    x = 4,824.62

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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.