Home / 2,742.24-4,114.08-1,587

Finding the Fourth Proportional to 2,742.24, 4,114.08 and 1,587

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Solution

The fourth proportional to 2,742.24, 4,114.08 and 1,587 is: 2,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.24 : 4,114.08 = 1,587 : x
  2. Step 2: Convert to fraction form
    2,742.24/4,114.08 = 1,587/x
  3. Step 3: Cross multiply
    2,742.24x = 4,114.08 × 1,587
  4. Step 4: Simplify right side
    2,742.24x = 6,529,044.96
  5. Step 5: Solve for x
    x = 6,529,044.96/2,742.24
  6. Step 6: Final answer
    x = 2,380.92

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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.