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Finding the Fourth Proportional to 5,538.46, 8,309.10 and 1,840.71

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Solution

The fourth proportional to 5,538.46, 8,309.10 and 1,840.71 is: 2,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.46 : 8,309.10 = 1,840.71 : x
  2. Step 2: Convert to fraction form
    5,538.46/8,309.10 = 1,840.71/x
  3. Step 3: Cross multiply
    5,538.46x = 8,309.10 × 1,840.71
  4. Step 4: Simplify right side
    5,538.46x = 15,294,643.46
  5. Step 5: Solve for x
    x = 15,294,643.46/5,538.46
  6. Step 6: Final answer
    x = 2,761.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.