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Finding the Fourth Proportional to 1,885.48, 2,809.97 and 1,823.08

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Solution

The fourth proportional to 1,885.48, 2,809.97 and 1,823.08 is: 2,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.48 : 2,809.97 = 1,823.08 : x
  2. Step 2: Convert to fraction form
    1,885.48/2,809.97 = 1,823.08/x
  3. Step 3: Cross multiply
    1,885.48x = 2,809.97 × 1,823.08
  4. Step 4: Simplify right side
    1,885.48x = 5,122,800.11
  5. Step 5: Solve for x
    x = 5,122,800.11/1,885.48
  6. Step 6: Final answer
    x = 2,716.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.