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Finding the Fourth Proportional to 2,051.32, 2,830.81 and 1,119.82

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Solution

The fourth proportional to 2,051.32, 2,830.81 and 1,119.82 is: 1,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.32 : 2,830.81 = 1,119.82 : x
  2. Step 2: Convert to fraction form
    2,051.32/2,830.81 = 1,119.82/x
  3. Step 3: Cross multiply
    2,051.32x = 2,830.81 × 1,119.82
  4. Step 4: Simplify right side
    2,051.32x = 3,169,997.65
  5. Step 5: Solve for x
    x = 3,169,997.65/2,051.32
  6. Step 6: Final answer
    x = 1,545.35

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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.