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Finding the Fourth Proportional to 9,861.57, 13,609 and 6,324.80

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Solution

The fourth proportional to 9,861.57, 13,609 and 6,324.80 is: 8,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.57 : 13,609 = 6,324.80 : x
  2. Step 2: Convert to fraction form
    9,861.57/13,609 = 6,324.80/x
  3. Step 3: Cross multiply
    9,861.57x = 13,609 × 6,324.80
  4. Step 4: Simplify right side
    9,861.57x = 86,074,203.20
  5. Step 5: Solve for x
    x = 86,074,203.20/9,861.57
  6. Step 6: Final answer
    x = 8,728.25

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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.