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Finding the Fourth Proportional to 1,428.82, 1,972.14 and 869.64

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Solution

The fourth proportional to 1,428.82, 1,972.14 and 869.64 is: 1,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.82 : 1,972.14 = 869.64 : x
  2. Step 2: Convert to fraction form
    1,428.82/1,972.14 = 869.64/x
  3. Step 3: Cross multiply
    1,428.82x = 1,972.14 × 869.64
  4. Step 4: Simplify right side
    1,428.82x = 1,715,051.83
  5. Step 5: Solve for x
    x = 1,715,051.83/1,428.82
  6. Step 6: Final answer
    x = 1,200.33

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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.