Home / 1,431.39-2,142.83-813.16

Finding the Fourth Proportional to 1,431.39, 2,142.83 and 813.16

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Solution

The fourth proportional to 1,431.39, 2,142.83 and 813.16 is: 1,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.39 : 2,142.83 = 813.16 : x
  2. Step 2: Convert to fraction form
    1,431.39/2,142.83 = 813.16/x
  3. Step 3: Cross multiply
    1,431.39x = 2,142.83 × 813.16
  4. Step 4: Simplify right side
    1,431.39x = 1,742,463.64
  5. Step 5: Solve for x
    x = 1,742,463.64/1,431.39
  6. Step 6: Final answer
    x = 1,217.32

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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.