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Finding the Fourth Proportional to 3,689.52, 5,532.93 and 1,223.88

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Solution

The fourth proportional to 3,689.52, 5,532.93 and 1,223.88 is: 1,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.52 : 5,532.93 = 1,223.88 : x
  2. Step 2: Convert to fraction form
    3,689.52/5,532.93 = 1,223.88/x
  3. Step 3: Cross multiply
    3,689.52x = 5,532.93 × 1,223.88
  4. Step 4: Simplify right side
    3,689.52x = 6,771,642.37
  5. Step 5: Solve for x
    x = 6,771,642.37/3,689.52
  6. Step 6: Final answer
    x = 1,835.37

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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.