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Finding the Fourth Proportional to 8,984.85, 12,399.11 and 5,006.10

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Solution

The fourth proportional to 8,984.85, 12,399.11 and 5,006.10 is: 6,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.85 : 12,399.11 = 5,006.10 : x
  2. Step 2: Convert to fraction form
    8,984.85/12,399.11 = 5,006.10/x
  3. Step 3: Cross multiply
    8,984.85x = 12,399.11 × 5,006.10
  4. Step 4: Simplify right side
    8,984.85x = 62,071,159.54
  5. Step 5: Solve for x
    x = 62,071,159.54/8,984.85
  6. Step 6: Final answer
    x = 6,908.42

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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.