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Finding the Fourth Proportional to 1,689.81, 2,534.72 and 1,230.52

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Solution

The fourth proportional to 1,689.81, 2,534.72 and 1,230.52 is: 1,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.81 : 2,534.72 = 1,230.52 : x
  2. Step 2: Convert to fraction form
    1,689.81/2,534.72 = 1,230.52/x
  3. Step 3: Cross multiply
    1,689.81x = 2,534.72 × 1,230.52
  4. Step 4: Simplify right side
    1,689.81x = 3,119,010.98
  5. Step 5: Solve for x
    x = 3,119,010.98/1,689.81
  6. Step 6: Final answer
    x = 1,845.77

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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.