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Finding the Fourth Proportional to 1,874.96, 2,587.56 and 1,563.92

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Solution

The fourth proportional to 1,874.96, 2,587.56 and 1,563.92 is: 2,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.96 : 2,587.56 = 1,563.92 : x
  2. Step 2: Convert to fraction form
    1,874.96/2,587.56 = 1,563.92/x
  3. Step 3: Cross multiply
    1,874.96x = 2,587.56 × 1,563.92
  4. Step 4: Simplify right side
    1,874.96x = 4,046,736.84
  5. Step 5: Solve for x
    x = 4,046,736.84/1,874.96
  6. Step 6: Final answer
    x = 2,158.31

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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.