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Finding the Fourth Proportional to 1,543, 2,313.50 and 1,311.98

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Solution

The fourth proportional to 1,543, 2,313.50 and 1,311.98 is: 1,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543 : 2,313.50 = 1,311.98 : x
  2. Step 2: Convert to fraction form
    1,543/2,313.50 = 1,311.98/x
  3. Step 3: Cross multiply
    1,543x = 2,313.50 × 1,311.98
  4. Step 4: Simplify right side
    1,543x = 3,035,265.73
  5. Step 5: Solve for x
    x = 3,035,265.73/1,543
  6. Step 6: Final answer
    x = 1,967.12

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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.