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Finding the Fourth Proportional to 3,315.76, 4,974.48 and 1,007.28

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Solution

The fourth proportional to 3,315.76, 4,974.48 and 1,007.28 is: 1,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.76 : 4,974.48 = 1,007.28 : x
  2. Step 2: Convert to fraction form
    3,315.76/4,974.48 = 1,007.28/x
  3. Step 3: Cross multiply
    3,315.76x = 4,974.48 × 1,007.28
  4. Step 4: Simplify right side
    3,315.76x = 5,010,694.21
  5. Step 5: Solve for x
    x = 5,010,694.21/3,315.76
  6. Step 6: Final answer
    x = 1,511.18

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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.