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Finding the Fourth Proportional to 3,746, 5,620.28 and 1,314

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Solution

The fourth proportional to 3,746, 5,620.28 and 1,314 is: 1,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746 : 5,620.28 = 1,314 : x
  2. Step 2: Convert to fraction form
    3,746/5,620.28 = 1,314/x
  3. Step 3: Cross multiply
    3,746x = 5,620.28 × 1,314
  4. Step 4: Simplify right side
    3,746x = 7,385,047.92
  5. Step 5: Solve for x
    x = 7,385,047.92/3,746
  6. Step 6: Final answer
    x = 1,971.45

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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.