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Finding the Fourth Proportional to 13,017.39, 17,964 and 7,049.06

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Solution

The fourth proportional to 13,017.39, 17,964 and 7,049.06 is: 9,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.39 : 17,964 = 7,049.06 : x
  2. Step 2: Convert to fraction form
    13,017.39/17,964 = 7,049.06/x
  3. Step 3: Cross multiply
    13,017.39x = 17,964 × 7,049.06
  4. Step 4: Simplify right side
    13,017.39x = 126,629,291.39
  5. Step 5: Solve for x
    x = 126,629,291.39/13,017.39
  6. Step 6: Final answer
    x = 9,727.70

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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.