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Finding the Fourth Proportional to 3,868.75, 5,802.25 and 1,095.67

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Solution

The fourth proportional to 3,868.75, 5,802.25 and 1,095.67 is: 1,643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.75 : 5,802.25 = 1,095.67 : x
  2. Step 2: Convert to fraction form
    3,868.75/5,802.25 = 1,095.67/x
  3. Step 3: Cross multiply
    3,868.75x = 5,802.25 × 1,095.67
  4. Step 4: Simplify right side
    3,868.75x = 6,357,351.26
  5. Step 5: Solve for x
    x = 6,357,351.26/3,868.75
  6. Step 6: Final answer
    x = 1,643.26

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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.