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Finding the Fourth Proportional to 13,007.16, 17,948.38 and 7,341.61

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Solution

The fourth proportional to 13,007.16, 17,948.38 and 7,341.61 is: 10,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.16 : 17,948.38 = 7,341.61 : x
  2. Step 2: Convert to fraction form
    13,007.16/17,948.38 = 7,341.61/x
  3. Step 3: Cross multiply
    13,007.16x = 17,948.38 × 7,341.61
  4. Step 4: Simplify right side
    13,007.16x = 131,770,006.09
  5. Step 5: Solve for x
    x = 131,770,006.09/13,007.16
  6. Step 6: Final answer
    x = 10,130.57

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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.