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Finding the Fourth Proportional to 2,856.42, 3,943.08 and 1,737.54

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Solution

The fourth proportional to 2,856.42, 3,943.08 and 1,737.54 is: 2,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.42 : 3,943.08 = 1,737.54 : x
  2. Step 2: Convert to fraction form
    2,856.42/3,943.08 = 1,737.54/x
  3. Step 3: Cross multiply
    2,856.42x = 3,943.08 × 1,737.54
  4. Step 4: Simplify right side
    2,856.42x = 6,851,259.22
  5. Step 5: Solve for x
    x = 6,851,259.22/2,856.42
  6. Step 6: Final answer
    x = 2,398.55

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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.