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Finding the Fourth Proportional to 1,689.57, 2,333.87 and 1,532.37

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Solution

The fourth proportional to 1,689.57, 2,333.87 and 1,532.37 is: 2,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.57 : 2,333.87 = 1,532.37 : x
  2. Step 2: Convert to fraction form
    1,689.57/2,333.87 = 1,532.37/x
  3. Step 3: Cross multiply
    1,689.57x = 2,333.87 × 1,532.37
  4. Step 4: Simplify right side
    1,689.57x = 3,576,344.71
  5. Step 5: Solve for x
    x = 3,576,344.71/1,689.57
  6. Step 6: Final answer
    x = 2,116.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.