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Finding the Fourth Proportional to 9,616.40, 13,255.08 and 8,061.20

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Solution

The fourth proportional to 9,616.40, 13,255.08 and 8,061.20 is: 11,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.40 : 13,255.08 = 8,061.20 : x
  2. Step 2: Convert to fraction form
    9,616.40/13,255.08 = 8,061.20/x
  3. Step 3: Cross multiply
    9,616.40x = 13,255.08 × 8,061.20
  4. Step 4: Simplify right side
    9,616.40x = 106,851,850.90
  5. Step 5: Solve for x
    x = 106,851,850.90/9,616.40
  6. Step 6: Final answer
    x = 11,111.42

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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.