Home / 1,688.40-2,324.16-1,424.88

Finding the Fourth Proportional to 1,688.40, 2,324.16 and 1,424.88

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Solution

The fourth proportional to 1,688.40, 2,324.16 and 1,424.88 is: 1,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.40 : 2,324.16 = 1,424.88 : x
  2. Step 2: Convert to fraction form
    1,688.40/2,324.16 = 1,424.88/x
  3. Step 3: Cross multiply
    1,688.40x = 2,324.16 × 1,424.88
  4. Step 4: Simplify right side
    1,688.40x = 3,311,649.10
  5. Step 5: Solve for x
    x = 3,311,649.10/1,688.40
  6. Step 6: Final answer
    x = 1,961.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.