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Finding the Fourth Proportional to 5,208.77, 7,808.47 and 1,921.05

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Solution

The fourth proportional to 5,208.77, 7,808.47 and 1,921.05 is: 2,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.77 : 7,808.47 = 1,921.05 : x
  2. Step 2: Convert to fraction form
    5,208.77/7,808.47 = 1,921.05/x
  3. Step 3: Cross multiply
    5,208.77x = 7,808.47 × 1,921.05
  4. Step 4: Simplify right side
    5,208.77x = 15,000,456.49
  5. Step 5: Solve for x
    x = 15,000,456.49/5,208.77
  6. Step 6: Final answer
    x = 2,879.84

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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.