Home / 1,649.61-2,471.38-1,033.20

Finding the Fourth Proportional to 1,649.61, 2,471.38 and 1,033.20

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Solution

The fourth proportional to 1,649.61, 2,471.38 and 1,033.20 is: 1,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.61 : 2,471.38 = 1,033.20 : x
  2. Step 2: Convert to fraction form
    1,649.61/2,471.38 = 1,033.20/x
  3. Step 3: Cross multiply
    1,649.61x = 2,471.38 × 1,033.20
  4. Step 4: Simplify right side
    1,649.61x = 2,553,427.23
  5. Step 5: Solve for x
    x = 2,553,427.23/1,649.61
  6. Step 6: Final answer
    x = 1,547.90

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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.