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Finding the Fourth Proportional to 9,767.50, 13,490.10 and 6,618.22

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Solution

The fourth proportional to 9,767.50, 13,490.10 and 6,618.22 is: 9,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.50 : 13,490.10 = 6,618.22 : x
  2. Step 2: Convert to fraction form
    9,767.50/13,490.10 = 6,618.22/x
  3. Step 3: Cross multiply
    9,767.50x = 13,490.10 × 6,618.22
  4. Step 4: Simplify right side
    9,767.50x = 89,280,449.62
  5. Step 5: Solve for x
    x = 89,280,449.62/9,767.50
  6. Step 6: Final answer
    x = 9,140.56

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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.