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Finding the Fourth Proportional to 2,937.80, 4,406.67 and 746.50

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Solution

The fourth proportional to 2,937.80, 4,406.67 and 746.50 is: 1,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.80 : 4,406.67 = 746.50 : x
  2. Step 2: Convert to fraction form
    2,937.80/4,406.67 = 746.50/x
  3. Step 3: Cross multiply
    2,937.80x = 4,406.67 × 746.50
  4. Step 4: Simplify right side
    2,937.80x = 3,289,579.16
  5. Step 5: Solve for x
    x = 3,289,579.16/2,937.80
  6. Step 6: Final answer
    x = 1,119.74

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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.