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Finding the Fourth Proportional to 23,409, 35,116.99 and 8,616.78

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Solution

The fourth proportional to 23,409, 35,116.99 and 8,616.78 is: 12,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 35,116.99 = 8,616.78 : x
  2. Step 2: Convert to fraction form
    23,409/35,116.99 = 8,616.78/x
  3. Step 3: Cross multiply
    23,409x = 35,116.99 × 8,616.78
  4. Step 4: Simplify right side
    23,409x = 302,595,404.02
  5. Step 5: Solve for x
    x = 302,595,404.02/23,409
  6. Step 6: Final answer
    x = 12,926.46

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Double scale
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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.