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Finding the Fourth Proportional to 2,568.48, 3,543.94 and 1,971.66

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Solution

The fourth proportional to 2,568.48, 3,543.94 and 1,971.66 is: 2,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.48 : 3,543.94 = 1,971.66 : x
  2. Step 2: Convert to fraction form
    2,568.48/3,543.94 = 1,971.66/x
  3. Step 3: Cross multiply
    2,568.48x = 3,543.94 × 1,971.66
  4. Step 4: Simplify right side
    2,568.48x = 6,987,444.74
  5. Step 5: Solve for x
    x = 6,987,444.74/2,568.48
  6. Step 6: Final answer
    x = 2,720.46

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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.