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Finding the Fourth Proportional to 2,866.51, 4,298.49 and 992.57

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Solution

The fourth proportional to 2,866.51, 4,298.49 and 992.57 is: 1,488.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.51 : 4,298.49 = 992.57 : x
  2. Step 2: Convert to fraction form
    2,866.51/4,298.49 = 992.57/x
  3. Step 3: Cross multiply
    2,866.51x = 4,298.49 × 992.57
  4. Step 4: Simplify right side
    2,866.51x = 4,266,560.48
  5. Step 5: Solve for x
    x = 4,266,560.48/2,866.51
  6. Step 6: Final answer
    x = 1,488.42

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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.