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Finding the Fourth Proportional to 2,101, 3,163.77 and 1,557.04

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Solution

The fourth proportional to 2,101, 3,163.77 and 1,557.04 is: 2,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101 : 3,163.77 = 1,557.04 : x
  2. Step 2: Convert to fraction form
    2,101/3,163.77 = 1,557.04/x
  3. Step 3: Cross multiply
    2,101x = 3,163.77 × 1,557.04
  4. Step 4: Simplify right side
    2,101x = 4,926,116.44
  5. Step 5: Solve for x
    x = 4,926,116.44/2,101
  6. Step 6: Final answer
    x = 2,344.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.