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Finding the Fourth Proportional to 6,489.26, 9,728.05 and 2,328.29

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Solution

The fourth proportional to 6,489.26, 9,728.05 and 2,328.29 is: 3,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.26 : 9,728.05 = 2,328.29 : x
  2. Step 2: Convert to fraction form
    6,489.26/9,728.05 = 2,328.29/x
  3. Step 3: Cross multiply
    6,489.26x = 9,728.05 × 2,328.29
  4. Step 4: Simplify right side
    6,489.26x = 22,649,762.64
  5. Step 5: Solve for x
    x = 22,649,762.64/6,489.26
  6. Step 6: Final answer
    x = 3,490.35

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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.