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Finding the Fourth Proportional to 3,742.72, 5,612.54 and 1,277.74

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Solution

The fourth proportional to 3,742.72, 5,612.54 and 1,277.74 is: 1,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.72 : 5,612.54 = 1,277.74 : x
  2. Step 2: Convert to fraction form
    3,742.72/5,612.54 = 1,277.74/x
  3. Step 3: Cross multiply
    3,742.72x = 5,612.54 × 1,277.74
  4. Step 4: Simplify right side
    3,742.72x = 7,171,355.05
  5. Step 5: Solve for x
    x = 7,171,355.05/3,742.72
  6. Step 6: Final answer
    x = 1,916.08

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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.