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Finding the Fourth Proportional to 3,767.84, 5,649.47 and 1,687.46

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Solution

The fourth proportional to 3,767.84, 5,649.47 and 1,687.46 is: 2,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.84 : 5,649.47 = 1,687.46 : x
  2. Step 2: Convert to fraction form
    3,767.84/5,649.47 = 1,687.46/x
  3. Step 3: Cross multiply
    3,767.84x = 5,649.47 × 1,687.46
  4. Step 4: Simplify right side
    3,767.84x = 9,533,254.65
  5. Step 5: Solve for x
    x = 9,533,254.65/3,767.84
  6. Step 6: Final answer
    x = 2,530.16

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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.