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Finding the Fourth Proportional to 3,689.63, 5,532.56 and 1,223.57

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Solution

The fourth proportional to 3,689.63, 5,532.56 and 1,223.57 is: 1,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.63 : 5,532.56 = 1,223.57 : x
  2. Step 2: Convert to fraction form
    3,689.63/5,532.56 = 1,223.57/x
  3. Step 3: Cross multiply
    3,689.63x = 5,532.56 × 1,223.57
  4. Step 4: Simplify right side
    3,689.63x = 6,769,440.66
  5. Step 5: Solve for x
    x = 6,769,440.66/3,689.63
  6. Step 6: Final answer
    x = 1,834.72

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1.5x scale

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.