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Finding the Fourth Proportional to 12,713.57, 17,544.21 and 7,048.40

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Solution

The fourth proportional to 12,713.57, 17,544.21 and 7,048.40 is: 9,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.57 : 17,544.21 = 7,048.40 : x
  2. Step 2: Convert to fraction form
    12,713.57/17,544.21 = 7,048.40/x
  3. Step 3: Cross multiply
    12,713.57x = 17,544.21 × 7,048.40
  4. Step 4: Simplify right side
    12,713.57x = 123,658,609.76
  5. Step 5: Solve for x
    x = 123,658,609.76/12,713.57
  6. Step 6: Final answer
    x = 9,726.51

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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.