Home / 1,431.51-2,143.43-814.29

Finding the Fourth Proportional to 1,431.51, 2,143.43 and 814.29

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Solution

The fourth proportional to 1,431.51, 2,143.43 and 814.29 is: 1,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.51 : 2,143.43 = 814.29 : x
  2. Step 2: Convert to fraction form
    1,431.51/2,143.43 = 814.29/x
  3. Step 3: Cross multiply
    1,431.51x = 2,143.43 × 814.29
  4. Step 4: Simplify right side
    1,431.51x = 1,745,369.54
  5. Step 5: Solve for x
    x = 1,745,369.54/1,431.51
  6. Step 6: Final answer
    x = 1,219.25

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1.5x scale

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.