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Finding the Fourth Proportional to 3,045.66, 4,202.29 and 1,786.65

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Solution

The fourth proportional to 3,045.66, 4,202.29 and 1,786.65 is: 2,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.66 : 4,202.29 = 1,786.65 : x
  2. Step 2: Convert to fraction form
    3,045.66/4,202.29 = 1,786.65/x
  3. Step 3: Cross multiply
    3,045.66x = 4,202.29 × 1,786.65
  4. Step 4: Simplify right side
    3,045.66x = 7,508,000.42
  5. Step 5: Solve for x
    x = 7,508,000.42/3,045.66
  6. Step 6: Final answer
    x = 2,465.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.