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Finding the Fourth Proportional to 2,866.81, 4,300.88 and 892.34

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Solution

The fourth proportional to 2,866.81, 4,300.88 and 892.34 is: 1,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.81 : 4,300.88 = 892.34 : x
  2. Step 2: Convert to fraction form
    2,866.81/4,300.88 = 892.34/x
  3. Step 3: Cross multiply
    2,866.81x = 4,300.88 × 892.34
  4. Step 4: Simplify right side
    2,866.81x = 3,837,860.24
  5. Step 5: Solve for x
    x = 3,837,860.24/2,866.81
  6. Step 6: Final answer
    x = 1,338.72

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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.