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Finding the Fourth Proportional to 7,104.19, 10,661.15 and 3,643.87

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Solution

The fourth proportional to 7,104.19, 10,661.15 and 3,643.87 is: 5,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.19 : 10,661.15 = 3,643.87 : x
  2. Step 2: Convert to fraction form
    7,104.19/10,661.15 = 3,643.87/x
  3. Step 3: Cross multiply
    7,104.19x = 10,661.15 × 3,643.87
  4. Step 4: Simplify right side
    7,104.19x = 38,847,844.65
  5. Step 5: Solve for x
    x = 38,847,844.65/7,104.19
  6. Step 6: Final answer
    x = 5,468.30

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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.