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Finding the Fourth Proportional to 2,010.86, 2,774.90 and 1,126.64

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Solution

The fourth proportional to 2,010.86, 2,774.90 and 1,126.64 is: 1,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.86 : 2,774.90 = 1,126.64 : x
  2. Step 2: Convert to fraction form
    2,010.86/2,774.90 = 1,126.64/x
  3. Step 3: Cross multiply
    2,010.86x = 2,774.90 × 1,126.64
  4. Step 4: Simplify right side
    2,010.86x = 3,126,323.09
  5. Step 5: Solve for x
    x = 3,126,323.09/2,010.86
  6. Step 6: Final answer
    x = 1,554.72

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1.5x scale

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.