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Finding the Fourth Proportional to 12,869.56, 17,757.82 and 7,203.16

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Solution

The fourth proportional to 12,869.56, 17,757.82 and 7,203.16 is: 9,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.56 : 17,757.82 = 7,203.16 : x
  2. Step 2: Convert to fraction form
    12,869.56/17,757.82 = 7,203.16/x
  3. Step 3: Cross multiply
    12,869.56x = 17,757.82 × 7,203.16
  4. Step 4: Simplify right side
    12,869.56x = 127,912,418.71
  5. Step 5: Solve for x
    x = 127,912,418.71/12,869.56
  6. Step 6: Final answer
    x = 9,939.14

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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.