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Finding the Fourth Proportional to 5,210.64, 7,820.64 and 2,747.28

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Solution

The fourth proportional to 5,210.64, 7,820.64 and 2,747.28 is: 4,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.64 : 7,820.64 = 2,747.28 : x
  2. Step 2: Convert to fraction form
    5,210.64/7,820.64 = 2,747.28/x
  3. Step 3: Cross multiply
    5,210.64x = 7,820.64 × 2,747.28
  4. Step 4: Simplify right side
    5,210.64x = 21,485,487.86
  5. Step 5: Solve for x
    x = 21,485,487.86/5,210.64
  6. Step 6: Final answer
    x = 4,123.39

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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.