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Finding the Fourth Proportional to 5,243.60, 7,865.42 and 2,321.93

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Solution

The fourth proportional to 5,243.60, 7,865.42 and 2,321.93 is: 3,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.60 : 7,865.42 = 2,321.93 : x
  2. Step 2: Convert to fraction form
    5,243.60/7,865.42 = 2,321.93/x
  3. Step 3: Cross multiply
    5,243.60x = 7,865.42 × 2,321.93
  4. Step 4: Simplify right side
    5,243.60x = 18,262,903.72
  5. Step 5: Solve for x
    x = 18,262,903.72/5,243.60
  6. Step 6: Final answer
    x = 3,482.90

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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.