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Finding the Fourth Proportional to 3,347.78, 5,019.35 and 1,472.77

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Solution

The fourth proportional to 3,347.78, 5,019.35 and 1,472.77 is: 2,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.78 : 5,019.35 = 1,472.77 : x
  2. Step 2: Convert to fraction form
    3,347.78/5,019.35 = 1,472.77/x
  3. Step 3: Cross multiply
    3,347.78x = 5,019.35 × 1,472.77
  4. Step 4: Simplify right side
    3,347.78x = 7,392,354.45
  5. Step 5: Solve for x
    x = 7,392,354.45/3,347.78
  6. Step 6: Final answer
    x = 2,208.14

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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.