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Finding the Fourth Proportional to 3,893.50, 5,842.68 and 1,585

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Solution

The fourth proportional to 3,893.50, 5,842.68 and 1,585 is: 2,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.50 : 5,842.68 = 1,585 : x
  2. Step 2: Convert to fraction form
    3,893.50/5,842.68 = 1,585/x
  3. Step 3: Cross multiply
    3,893.50x = 5,842.68 × 1,585
  4. Step 4: Simplify right side
    3,893.50x = 9,260,647.80
  5. Step 5: Solve for x
    x = 9,260,647.80/3,893.50
  6. Step 6: Final answer
    x = 2,378.49

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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.