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Finding the Fourth Proportional to 1,368.14, 1,888.25 and 871.00

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Solution

The fourth proportional to 1,368.14, 1,888.25 and 871.00 is: 1,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.14 : 1,888.25 = 871.00 : x
  2. Step 2: Convert to fraction form
    1,368.14/1,888.25 = 871.00/x
  3. Step 3: Cross multiply
    1,368.14x = 1,888.25 × 871.00
  4. Step 4: Simplify right side
    1,368.14x = 1,644,651.95
  5. Step 5: Solve for x
    x = 1,644,651.95/1,368.14
  6. Step 6: Final answer
    x = 1,202.11

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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.