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Finding the Fourth Proportional to 2,854.72, 4,282.08 and 1,886.92

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Solution

The fourth proportional to 2,854.72, 4,282.08 and 1,886.92 is: 2,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.72 : 4,282.08 = 1,886.92 : x
  2. Step 2: Convert to fraction form
    2,854.72/4,282.08 = 1,886.92/x
  3. Step 3: Cross multiply
    2,854.72x = 4,282.08 × 1,886.92
  4. Step 4: Simplify right side
    2,854.72x = 8,079,942.39
  5. Step 5: Solve for x
    x = 8,079,942.39/2,854.72
  6. Step 6: Final answer
    x = 2,830.38

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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.