Home / 1,422.48-2,134.08-806.64

Finding the Fourth Proportional to 1,422.48, 2,134.08 and 806.64

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Solution

The fourth proportional to 1,422.48, 2,134.08 and 806.64 is: 1,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.48 : 2,134.08 = 806.64 : x
  2. Step 2: Convert to fraction form
    1,422.48/2,134.08 = 806.64/x
  3. Step 3: Cross multiply
    1,422.48x = 2,134.08 × 806.64
  4. Step 4: Simplify right side
    1,422.48x = 1,721,434.29
  5. Step 5: Solve for x
    x = 1,721,434.29/1,422.48
  6. Step 6: Final answer
    x = 1,210.16

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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.