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Finding the Fourth Proportional to 2,507.79, 3,764.12 and 1,210.17

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Solution

The fourth proportional to 2,507.79, 3,764.12 and 1,210.17 is: 1,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.79 : 3,764.12 = 1,210.17 : x
  2. Step 2: Convert to fraction form
    2,507.79/3,764.12 = 1,210.17/x
  3. Step 3: Cross multiply
    2,507.79x = 3,764.12 × 1,210.17
  4. Step 4: Simplify right side
    2,507.79x = 4,555,219.05
  5. Step 5: Solve for x
    x = 4,555,219.05/2,507.79
  6. Step 6: Final answer
    x = 1,816.43

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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.