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Finding the Fourth Proportional to 13,006.65, 17,949.71 and 7,341.39

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Solution

The fourth proportional to 13,006.65, 17,949.71 and 7,341.39 is: 10,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.65 : 17,949.71 = 7,341.39 : x
  2. Step 2: Convert to fraction form
    13,006.65/17,949.71 = 7,341.39/x
  3. Step 3: Cross multiply
    13,006.65x = 17,949.71 × 7,341.39
  4. Step 4: Simplify right side
    13,006.65x = 131,775,816.34
  5. Step 5: Solve for x
    x = 131,775,816.34/13,006.65
  6. Step 6: Final answer
    x = 10,131.42

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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.