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Finding the Fourth Proportional to 2,856.54, 4,275.45 and 2,462.88

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Solution

The fourth proportional to 2,856.54, 4,275.45 and 2,462.88 is: 3,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.54 : 4,275.45 = 2,462.88 : x
  2. Step 2: Convert to fraction form
    2,856.54/4,275.45 = 2,462.88/x
  3. Step 3: Cross multiply
    2,856.54x = 4,275.45 × 2,462.88
  4. Step 4: Simplify right side
    2,856.54x = 10,529,920.30
  5. Step 5: Solve for x
    x = 10,529,920.30/2,856.54
  6. Step 6: Final answer
    x = 3,686.25

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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.