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Finding the Fourth Proportional to 2,868.84, 4,304.64 and 1,021.30

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Solution

The fourth proportional to 2,868.84, 4,304.64 and 1,021.30 is: 1,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.84 : 4,304.64 = 1,021.30 : x
  2. Step 2: Convert to fraction form
    2,868.84/4,304.64 = 1,021.30/x
  3. Step 3: Cross multiply
    2,868.84x = 4,304.64 × 1,021.30
  4. Step 4: Simplify right side
    2,868.84x = 4,396,328.83
  5. Step 5: Solve for x
    x = 4,396,328.83/2,868.84
  6. Step 6: Final answer
    x = 1,532.44

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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.