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Finding the Fourth Proportional to 3,894, 5,842.44 and 2,045.04

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Solution

The fourth proportional to 3,894, 5,842.44 and 2,045.04 is: 3,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894 : 5,842.44 = 2,045.04 : x
  2. Step 2: Convert to fraction form
    3,894/5,842.44 = 2,045.04/x
  3. Step 3: Cross multiply
    3,894x = 5,842.44 × 2,045.04
  4. Step 4: Simplify right side
    3,894x = 11,948,023.50
  5. Step 5: Solve for x
    x = 11,948,023.50/3,894
  6. Step 6: Final answer
    x = 3,068.32

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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.