Home / 2,066.78-2,852.10-1,135.28

Finding the Fourth Proportional to 2,066.78, 2,852.10 and 1,135.28

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Solution

The fourth proportional to 2,066.78, 2,852.10 and 1,135.28 is: 1,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.78 : 2,852.10 = 1,135.28 : x
  2. Step 2: Convert to fraction form
    2,066.78/2,852.10 = 1,135.28/x
  3. Step 3: Cross multiply
    2,066.78x = 2,852.10 × 1,135.28
  4. Step 4: Simplify right side
    2,066.78x = 3,237,932.09
  5. Step 5: Solve for x
    x = 3,237,932.09/2,066.78
  6. Step 6: Final answer
    x = 1,566.66

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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.