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Finding the Fourth Proportional to 2,867.59, 4,301.29 and 815.59

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Solution

The fourth proportional to 2,867.59, 4,301.29 and 815.59 is: 1,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.59 : 4,301.29 = 815.59 : x
  2. Step 2: Convert to fraction form
    2,867.59/4,301.29 = 815.59/x
  3. Step 3: Cross multiply
    2,867.59x = 4,301.29 × 815.59
  4. Step 4: Simplify right side
    2,867.59x = 3,508,089.11
  5. Step 5: Solve for x
    x = 3,508,089.11/2,867.59
  6. Step 6: Final answer
    x = 1,223.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.