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Finding the Fourth Proportional to 3,868, 5,802.08 and 1,132

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Solution

The fourth proportional to 3,868, 5,802.08 and 1,132 is: 1,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868 : 5,802.08 = 1,132 : x
  2. Step 2: Convert to fraction form
    3,868/5,802.08 = 1,132/x
  3. Step 3: Cross multiply
    3,868x = 5,802.08 × 1,132
  4. Step 4: Simplify right side
    3,868x = 6,567,954.56
  5. Step 5: Solve for x
    x = 6,567,954.56/3,868
  6. Step 6: Final answer
    x = 1,698.02

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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.