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Finding the Fourth Proportional to 9,866.78, 13,616.17 and 5,617.65

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Solution

The fourth proportional to 9,866.78, 13,616.17 and 5,617.65 is: 7,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.78 : 13,616.17 = 5,617.65 : x
  2. Step 2: Convert to fraction form
    9,866.78/13,616.17 = 5,617.65/x
  3. Step 3: Cross multiply
    9,866.78x = 13,616.17 × 5,617.65
  4. Step 4: Simplify right side
    9,866.78x = 76,490,914.42
  5. Step 5: Solve for x
    x = 76,490,914.42/9,866.78
  6. Step 6: Final answer
    x = 7,752.37

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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.