Home / 1,578.13-2,177.83-869.99

Finding the Fourth Proportional to 1,578.13, 2,177.83 and 869.99

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Solution

The fourth proportional to 1,578.13, 2,177.83 and 869.99 is: 1,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.13 : 2,177.83 = 869.99 : x
  2. Step 2: Convert to fraction form
    1,578.13/2,177.83 = 869.99/x
  3. Step 3: Cross multiply
    1,578.13x = 2,177.83 × 869.99
  4. Step 4: Simplify right side
    1,578.13x = 1,894,680.52
  5. Step 5: Solve for x
    x = 1,894,680.52/1,578.13
  6. Step 6: Final answer
    x = 1,200.59

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1.5x scale

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.