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Finding the Fourth Proportional to 2,552.16, 3,520.14 and 2,343

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Solution

The fourth proportional to 2,552.16, 3,520.14 and 2,343 is: 3,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.16 : 3,520.14 = 2,343 : x
  2. Step 2: Convert to fraction form
    2,552.16/3,520.14 = 2,343/x
  3. Step 3: Cross multiply
    2,552.16x = 3,520.14 × 2,343
  4. Step 4: Simplify right side
    2,552.16x = 8,247,688.02
  5. Step 5: Solve for x
    x = 8,247,688.02/2,552.16
  6. Step 6: Final answer
    x = 3,231.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.