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Finding the Fourth Proportional to 3,541.80, 5,311.80 and 1,897.50

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Solution

The fourth proportional to 3,541.80, 5,311.80 and 1,897.50 is: 2,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.80 : 5,311.80 = 1,897.50 : x
  2. Step 2: Convert to fraction form
    3,541.80/5,311.80 = 1,897.50/x
  3. Step 3: Cross multiply
    3,541.80x = 5,311.80 × 1,897.50
  4. Step 4: Simplify right side
    3,541.80x = 10,079,140.50
  5. Step 5: Solve for x
    x = 10,079,140.50/3,541.80
  6. Step 6: Final answer
    x = 2,845.77

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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.