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Finding the Fourth Proportional to 2,402.72, 3,604.08 and 1,376

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Solution

The fourth proportional to 2,402.72, 3,604.08 and 1,376 is: 2,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.72 : 3,604.08 = 1,376 : x
  2. Step 2: Convert to fraction form
    2,402.72/3,604.08 = 1,376/x
  3. Step 3: Cross multiply
    2,402.72x = 3,604.08 × 1,376
  4. Step 4: Simplify right side
    2,402.72x = 4,959,214.08
  5. Step 5: Solve for x
    x = 4,959,214.08/2,402.72
  6. Step 6: Final answer
    x = 2,064

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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.