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Finding the Fourth Proportional to 2,866.98, 3,930.67 and 2,815.14

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Solution

The fourth proportional to 2,866.98, 3,930.67 and 2,815.14 is: 3,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.98 : 3,930.67 = 2,815.14 : x
  2. Step 2: Convert to fraction form
    2,866.98/3,930.67 = 2,815.14/x
  3. Step 3: Cross multiply
    2,866.98x = 3,930.67 × 2,815.14
  4. Step 4: Simplify right side
    2,866.98x = 11,065,386.34
  5. Step 5: Solve for x
    x = 11,065,386.34/2,866.98
  6. Step 6: Final answer
    x = 3,859.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.