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Finding the Fourth Proportional to 2,867.48, 4,301.02 and 919.52

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Solution

The fourth proportional to 2,867.48, 4,301.02 and 919.52 is: 1,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.48 : 4,301.02 = 919.52 : x
  2. Step 2: Convert to fraction form
    2,867.48/4,301.02 = 919.52/x
  3. Step 3: Cross multiply
    2,867.48x = 4,301.02 × 919.52
  4. Step 4: Simplify right side
    2,867.48x = 3,954,873.91
  5. Step 5: Solve for x
    x = 3,954,873.91/2,867.48
  6. Step 6: Final answer
    x = 1,379.22

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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.