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Finding the Fourth Proportional to 3,689.64, 5,533.17 and 1,223.80

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Solution

The fourth proportional to 3,689.64, 5,533.17 and 1,223.80 is: 1,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.64 : 5,533.17 = 1,223.80 : x
  2. Step 2: Convert to fraction form
    3,689.64/5,533.17 = 1,223.80/x
  3. Step 3: Cross multiply
    3,689.64x = 5,533.17 × 1,223.80
  4. Step 4: Simplify right side
    3,689.64x = 6,771,479.61
  5. Step 5: Solve for x
    x = 6,771,479.61/3,689.64
  6. Step 6: Final answer
    x = 1,835.27

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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.