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Finding the Fourth Proportional to 5,242.86, 7,865.10 and 2,321.46

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Solution

The fourth proportional to 5,242.86, 7,865.10 and 2,321.46 is: 3,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.86 : 7,865.10 = 2,321.46 : x
  2. Step 2: Convert to fraction form
    5,242.86/7,865.10 = 2,321.46/x
  3. Step 3: Cross multiply
    5,242.86x = 7,865.10 × 2,321.46
  4. Step 4: Simplify right side
    5,242.86x = 18,258,515.05
  5. Step 5: Solve for x
    x = 18,258,515.05/5,242.86
  6. Step 6: Final answer
    x = 3,482.55

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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.