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Finding the Fourth Proportional to 2,888.79, 3,983.47 and 2,258.20

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Solution

The fourth proportional to 2,888.79, 3,983.47 and 2,258.20 is: 3,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.79 : 3,983.47 = 2,258.20 : x
  2. Step 2: Convert to fraction form
    2,888.79/3,983.47 = 2,258.20/x
  3. Step 3: Cross multiply
    2,888.79x = 3,983.47 × 2,258.20
  4. Step 4: Simplify right side
    2,888.79x = 8,995,471.95
  5. Step 5: Solve for x
    x = 8,995,471.95/2,888.79
  6. Step 6: Final answer
    x = 3,113.92

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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.