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Finding the Fourth Proportional to 2,871.28, 4,307.09 and 897.19

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Solution

The fourth proportional to 2,871.28, 4,307.09 and 897.19 is: 1,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.28 : 4,307.09 = 897.19 : x
  2. Step 2: Convert to fraction form
    2,871.28/4,307.09 = 897.19/x
  3. Step 3: Cross multiply
    2,871.28x = 4,307.09 × 897.19
  4. Step 4: Simplify right side
    2,871.28x = 3,864,262.82
  5. Step 5: Solve for x
    x = 3,864,262.82/2,871.28
  6. Step 6: Final answer
    x = 1,345.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.