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Finding the Fourth Proportional to 3,803.64, 5,696.15 and 3,141.47

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Solution

The fourth proportional to 3,803.64, 5,696.15 and 3,141.47 is: 4,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.64 : 5,696.15 = 3,141.47 : x
  2. Step 2: Convert to fraction form
    3,803.64/5,696.15 = 3,141.47/x
  3. Step 3: Cross multiply
    3,803.64x = 5,696.15 × 3,141.47
  4. Step 4: Simplify right side
    3,803.64x = 17,894,259.67
  5. Step 5: Solve for x
    x = 17,894,259.67/3,803.64
  6. Step 6: Final answer
    x = 4,704.51

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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.