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Finding the Fourth Proportional to 3,604.86, 5,410.33 and 1,415.13

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Solution

The fourth proportional to 3,604.86, 5,410.33 and 1,415.13 is: 2,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.86 : 5,410.33 = 1,415.13 : x
  2. Step 2: Convert to fraction form
    3,604.86/5,410.33 = 1,415.13/x
  3. Step 3: Cross multiply
    3,604.86x = 5,410.33 × 1,415.13
  4. Step 4: Simplify right side
    3,604.86x = 7,656,320.29
  5. Step 5: Solve for x
    x = 7,656,320.29/3,604.86
  6. Step 6: Final answer
    x = 2,123.89

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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.