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Finding the Fourth Proportional to 2,814.89, 3,884.56 and 1,572.89

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Solution

The fourth proportional to 2,814.89, 3,884.56 and 1,572.89 is: 2,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.89 : 3,884.56 = 1,572.89 : x
  2. Step 2: Convert to fraction form
    2,814.89/3,884.56 = 1,572.89/x
  3. Step 3: Cross multiply
    2,814.89x = 3,884.56 × 1,572.89
  4. Step 4: Simplify right side
    2,814.89x = 6,109,962.22
  5. Step 5: Solve for x
    x = 6,109,962.22/2,814.89
  6. Step 6: Final answer
    x = 2,170.59

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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.