Home / 1,578.08-2,177.71-869.83

Finding the Fourth Proportional to 1,578.08, 2,177.71 and 869.83

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Solution

The fourth proportional to 1,578.08, 2,177.71 and 869.83 is: 1,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.08 : 2,177.71 = 869.83 : x
  2. Step 2: Convert to fraction form
    1,578.08/2,177.71 = 869.83/x
  3. Step 3: Cross multiply
    1,578.08x = 2,177.71 × 869.83
  4. Step 4: Simplify right side
    1,578.08x = 1,894,237.49
  5. Step 5: Solve for x
    x = 1,894,237.49/1,578.08
  6. Step 6: Final answer
    x = 1,200.34

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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.