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Finding the Fourth Proportional to 5,161.78, 7,123.16 and 2,803.86

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Solution

The fourth proportional to 5,161.78, 7,123.16 and 2,803.86 is: 3,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.78 : 7,123.16 = 2,803.86 : x
  2. Step 2: Convert to fraction form
    5,161.78/7,123.16 = 2,803.86/x
  3. Step 3: Cross multiply
    5,161.78x = 7,123.16 × 2,803.86
  4. Step 4: Simplify right side
    5,161.78x = 19,972,343.40
  5. Step 5: Solve for x
    x = 19,972,343.40/5,161.78
  6. Step 6: Final answer
    x = 3,869.27

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1.5x scale

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.