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Finding the Fourth Proportional to 5,740.40, 8,610.40 and 1,844.72

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Solution

The fourth proportional to 5,740.40, 8,610.40 and 1,844.72 is: 2,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.40 : 8,610.40 = 1,844.72 : x
  2. Step 2: Convert to fraction form
    5,740.40/8,610.40 = 1,844.72/x
  3. Step 3: Cross multiply
    5,740.40x = 8,610.40 × 1,844.72
  4. Step 4: Simplify right side
    5,740.40x = 15,883,777.09
  5. Step 5: Solve for x
    x = 15,883,777.09/5,740.40
  6. Step 6: Final answer
    x = 2,767.02

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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.