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Finding the Fourth Proportional to 2,860.80, 3,948.14 and 1,602.11

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Solution

The fourth proportional to 2,860.80, 3,948.14 and 1,602.11 is: 2,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.80 : 3,948.14 = 1,602.11 : x
  2. Step 2: Convert to fraction form
    2,860.80/3,948.14 = 1,602.11/x
  3. Step 3: Cross multiply
    2,860.80x = 3,948.14 × 1,602.11
  4. Step 4: Simplify right side
    2,860.80x = 6,325,326.82
  5. Step 5: Solve for x
    x = 6,325,326.82/2,860.80
  6. Step 6: Final answer
    x = 2,211.03

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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.