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Finding the Fourth Proportional to 3,402.84, 5,100.62 and 1,210.85

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Solution

The fourth proportional to 3,402.84, 5,100.62 and 1,210.85 is: 1,814.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 5,100.62 = 1,210.85 : x
  2. Step 2: Convert to fraction form
    3,402.84/5,100.62 = 1,210.85/x
  3. Step 3: Cross multiply
    3,402.84x = 5,100.62 × 1,210.85
  4. Step 4: Simplify right side
    3,402.84x = 6,176,054.17
  5. Step 5: Solve for x
    x = 6,176,054.17/3,402.84
  6. Step 6: Final answer
    x = 1,814.97

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1.5x scale

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.