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Finding the Fourth Proportional to 13,010.55, 17,959.17 and 7,705.38

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Solution

The fourth proportional to 13,010.55, 17,959.17 and 7,705.38 is: 10,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.55 : 17,959.17 = 7,705.38 : x
  2. Step 2: Convert to fraction form
    13,010.55/17,959.17 = 7,705.38/x
  3. Step 3: Cross multiply
    13,010.55x = 17,959.17 × 7,705.38
  4. Step 4: Simplify right side
    13,010.55x = 138,382,229.33
  5. Step 5: Solve for x
    x = 138,382,229.33/13,010.55
  6. Step 6: Final answer
    x = 10,636.16

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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.