Home / 1,431.08-2,144.73-814.40

Finding the Fourth Proportional to 1,431.08, 2,144.73 and 814.40

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Solution

The fourth proportional to 1,431.08, 2,144.73 and 814.40 is: 1,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.08 : 2,144.73 = 814.40 : x
  2. Step 2: Convert to fraction form
    1,431.08/2,144.73 = 814.40/x
  3. Step 3: Cross multiply
    1,431.08x = 2,144.73 × 814.40
  4. Step 4: Simplify right side
    1,431.08x = 1,746,668.11
  5. Step 5: Solve for x
    x = 1,746,668.11/1,431.08
  6. Step 6: Final answer
    x = 1,220.52

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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.