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Finding the Fourth Proportional to 2,773.59, 3,827.92 and 1,578.34

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Solution

The fourth proportional to 2,773.59, 3,827.92 and 1,578.34 is: 2,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.59 : 3,827.92 = 1,578.34 : x
  2. Step 2: Convert to fraction form
    2,773.59/3,827.92 = 1,578.34/x
  3. Step 3: Cross multiply
    2,773.59x = 3,827.92 × 1,578.34
  4. Step 4: Simplify right side
    2,773.59x = 6,041,769.38
  5. Step 5: Solve for x
    x = 6,041,769.38/2,773.59
  6. Step 6: Final answer
    x = 2,178.32

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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.