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Finding the Fourth Proportional to 3,674.74, 5,510.28 and 1,209.28

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Solution

The fourth proportional to 3,674.74, 5,510.28 and 1,209.28 is: 1,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.74 : 5,510.28 = 1,209.28 : x
  2. Step 2: Convert to fraction form
    3,674.74/5,510.28 = 1,209.28/x
  3. Step 3: Cross multiply
    3,674.74x = 5,510.28 × 1,209.28
  4. Step 4: Simplify right side
    3,674.74x = 6,663,471.40
  5. Step 5: Solve for x
    x = 6,663,471.40/3,674.74
  6. Step 6: Final answer
    x = 1,813.32

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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.