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Finding the Fourth Proportional to 13,007.11, 17,949.68 and 7,038.65

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Solution

The fourth proportional to 13,007.11, 17,949.68 and 7,038.65 is: 9,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.11 : 17,949.68 = 7,038.65 : x
  2. Step 2: Convert to fraction form
    13,007.11/17,949.68 = 7,038.65/x
  3. Step 3: Cross multiply
    13,007.11x = 17,949.68 × 7,038.65
  4. Step 4: Simplify right side
    13,007.11x = 126,341,515.13
  5. Step 5: Solve for x
    x = 126,341,515.13/13,007.11
  6. Step 6: Final answer
    x = 9,713.27

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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.