Home / 1,649.20-2,473.80-1,578.10

Finding the Fourth Proportional to 1,649.20, 2,473.80 and 1,578.10

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Solution

The fourth proportional to 1,649.20, 2,473.80 and 1,578.10 is: 2,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.20 : 2,473.80 = 1,578.10 : x
  2. Step 2: Convert to fraction form
    1,649.20/2,473.80 = 1,578.10/x
  3. Step 3: Cross multiply
    1,649.20x = 2,473.80 × 1,578.10
  4. Step 4: Simplify right side
    1,649.20x = 3,903,903.78
  5. Step 5: Solve for x
    x = 3,903,903.78/1,649.20
  6. Step 6: Final answer
    x = 2,367.15

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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.