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Finding the Fourth Proportional to 3,837.61, 5,756.42 and 1,530.73

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Solution

The fourth proportional to 3,837.61, 5,756.42 and 1,530.73 is: 2,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.61 : 5,756.42 = 1,530.73 : x
  2. Step 2: Convert to fraction form
    3,837.61/5,756.42 = 1,530.73/x
  3. Step 3: Cross multiply
    3,837.61x = 5,756.42 × 1,530.73
  4. Step 4: Simplify right side
    3,837.61x = 8,811,530.07
  5. Step 5: Solve for x
    x = 8,811,530.07/3,837.61
  6. Step 6: Final answer
    x = 2,296.10

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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.