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Finding the Fourth Proportional to 2,354.78, 3,249.60 and 1,307

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Solution

The fourth proportional to 2,354.78, 3,249.60 and 1,307 is: 1,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.78 : 3,249.60 = 1,307 : x
  2. Step 2: Convert to fraction form
    2,354.78/3,249.60 = 1,307/x
  3. Step 3: Cross multiply
    2,354.78x = 3,249.60 × 1,307
  4. Step 4: Simplify right side
    2,354.78x = 4,247,227.20
  5. Step 5: Solve for x
    x = 4,247,227.20/2,354.78
  6. Step 6: Final answer
    x = 1,803.66

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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.