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Finding the Fourth Proportional to 5,726.92, 7,903.09 and 3,209.14

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Solution

The fourth proportional to 5,726.92, 7,903.09 and 3,209.14 is: 4,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.92 : 7,903.09 = 3,209.14 : x
  2. Step 2: Convert to fraction form
    5,726.92/7,903.09 = 3,209.14/x
  3. Step 3: Cross multiply
    5,726.92x = 7,903.09 × 3,209.14
  4. Step 4: Simplify right side
    5,726.92x = 25,362,073.63
  5. Step 5: Solve for x
    x = 25,362,073.63/5,726.92
  6. Step 6: Final answer
    x = 4,428.57

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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.