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Finding the Fourth Proportional to 3,262.85, 4,894.49 and 1,315

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Solution

The fourth proportional to 3,262.85, 4,894.49 and 1,315 is: 1,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.85 : 4,894.49 = 1,315 : x
  2. Step 2: Convert to fraction form
    3,262.85/4,894.49 = 1,315/x
  3. Step 3: Cross multiply
    3,262.85x = 4,894.49 × 1,315
  4. Step 4: Simplify right side
    3,262.85x = 6,436,254.35
  5. Step 5: Solve for x
    x = 6,436,254.35/3,262.85
  6. Step 6: Final answer
    x = 1,972.59

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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.