Home / 1,687.16-2,327.28-1,023.68

Finding the Fourth Proportional to 1,687.16, 2,327.28 and 1,023.68

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Solution

The fourth proportional to 1,687.16, 2,327.28 and 1,023.68 is: 1,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.16 : 2,327.28 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    1,687.16/2,327.28 = 1,023.68/x
  3. Step 3: Cross multiply
    1,687.16x = 2,327.28 × 1,023.68
  4. Step 4: Simplify right side
    1,687.16x = 2,382,389.99
  5. Step 5: Solve for x
    x = 2,382,389.99/1,687.16
  6. Step 6: Final answer
    x = 1,412.07

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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.