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Finding the Fourth Proportional to 2,266.96, 3,415.87 and 1,865.08

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Solution

The fourth proportional to 2,266.96, 3,415.87 and 1,865.08 is: 2,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.96 : 3,415.87 = 1,865.08 : x
  2. Step 2: Convert to fraction form
    2,266.96/3,415.87 = 1,865.08/x
  3. Step 3: Cross multiply
    2,266.96x = 3,415.87 × 1,865.08
  4. Step 4: Simplify right side
    2,266.96x = 6,370,870.82
  5. Step 5: Solve for x
    x = 6,370,870.82/2,266.96
  6. Step 6: Final answer
    x = 2,810.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.