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Finding the Fourth Proportional to 3,345.78, 5,019.14 and 1,397.54

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Solution

The fourth proportional to 3,345.78, 5,019.14 and 1,397.54 is: 2,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.78 : 5,019.14 = 1,397.54 : x
  2. Step 2: Convert to fraction form
    3,345.78/5,019.14 = 1,397.54/x
  3. Step 3: Cross multiply
    3,345.78x = 5,019.14 × 1,397.54
  4. Step 4: Simplify right side
    3,345.78x = 7,014,448.92
  5. Step 5: Solve for x
    x = 7,014,448.92/3,345.78
  6. Step 6: Final answer
    x = 2,096.51

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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.