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Finding the Fourth Proportional to 3,173, 4,380.66 and 2,070.92

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Solution

The fourth proportional to 3,173, 4,380.66 and 2,070.92 is: 2,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173 : 4,380.66 = 2,070.92 : x
  2. Step 2: Convert to fraction form
    3,173/4,380.66 = 2,070.92/x
  3. Step 3: Cross multiply
    3,173x = 4,380.66 × 2,070.92
  4. Step 4: Simplify right side
    3,173x = 9,071,996.41
  5. Step 5: Solve for x
    x = 9,071,996.41/3,173
  6. Step 6: Final answer
    x = 2,859.12

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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.