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Finding the Fourth Proportional to 1,924.47, 2,887.11 and 1,649.88

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Solution

The fourth proportional to 1,924.47, 2,887.11 and 1,649.88 is: 2,475.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.47 : 2,887.11 = 1,649.88 : x
  2. Step 2: Convert to fraction form
    1,924.47/2,887.11 = 1,649.88/x
  3. Step 3: Cross multiply
    1,924.47x = 2,887.11 × 1,649.88
  4. Step 4: Simplify right side
    1,924.47x = 4,763,385.05
  5. Step 5: Solve for x
    x = 4,763,385.05/1,924.47
  6. Step 6: Final answer
    x = 2,475.17

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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.