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Finding the Fourth Proportional to 1,882.39, 2,824.47 and 842.30

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Solution

The fourth proportional to 1,882.39, 2,824.47 and 842.30 is: 1,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.39 : 2,824.47 = 842.30 : x
  2. Step 2: Convert to fraction form
    1,882.39/2,824.47 = 842.30/x
  3. Step 3: Cross multiply
    1,882.39x = 2,824.47 × 842.30
  4. Step 4: Simplify right side
    1,882.39x = 2,379,051.08
  5. Step 5: Solve for x
    x = 2,379,051.08/1,882.39
  6. Step 6: Final answer
    x = 1,263.85

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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.