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Finding the Fourth Proportional to 3,400.46, 5,102.34 and 1,210.22

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Solution

The fourth proportional to 3,400.46, 5,102.34 and 1,210.22 is: 1,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.46 : 5,102.34 = 1,210.22 : x
  2. Step 2: Convert to fraction form
    3,400.46/5,102.34 = 1,210.22/x
  3. Step 3: Cross multiply
    3,400.46x = 5,102.34 × 1,210.22
  4. Step 4: Simplify right side
    3,400.46x = 6,174,953.91
  5. Step 5: Solve for x
    x = 6,174,953.91/3,400.46
  6. Step 6: Final answer
    x = 1,815.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.