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Finding the Fourth Proportional to 13,013.98, 17,959.14 and 7,045.52

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Solution

The fourth proportional to 13,013.98, 17,959.14 and 7,045.52 is: 9,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.98 : 17,959.14 = 7,045.52 : x
  2. Step 2: Convert to fraction form
    13,013.98/17,959.14 = 7,045.52/x
  3. Step 3: Cross multiply
    13,013.98x = 17,959.14 × 7,045.52
  4. Step 4: Simplify right side
    13,013.98x = 126,531,480.05
  5. Step 5: Solve for x
    x = 126,531,480.05/13,013.98
  6. Step 6: Final answer
    x = 9,722.74

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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.