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Finding the Fourth Proportional to 2,710.86, 3,740.40 and 1,531.86

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Solution

The fourth proportional to 2,710.86, 3,740.40 and 1,531.86 is: 2,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.86 : 3,740.40 = 1,531.86 : x
  2. Step 2: Convert to fraction form
    2,710.86/3,740.40 = 1,531.86/x
  3. Step 3: Cross multiply
    2,710.86x = 3,740.40 × 1,531.86
  4. Step 4: Simplify right side
    2,710.86x = 5,729,769.14
  5. Step 5: Solve for x
    x = 5,729,769.14/2,710.86
  6. Step 6: Final answer
    x = 2,113.64

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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.