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Finding the Fourth Proportional to 3,742.94, 5,612.78 and 1,987.56

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Solution

The fourth proportional to 3,742.94, 5,612.78 and 1,987.56 is: 2,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.94 : 5,612.78 = 1,987.56 : x
  2. Step 2: Convert to fraction form
    3,742.94/5,612.78 = 1,987.56/x
  3. Step 3: Cross multiply
    3,742.94x = 5,612.78 × 1,987.56
  4. Step 4: Simplify right side
    3,742.94x = 11,155,722.98
  5. Step 5: Solve for x
    x = 11,155,722.98/3,742.94
  6. Step 6: Final answer
    x = 2,980.47

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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.