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Finding the Fourth Proportional to 2,818.96, 4,226.40 and 870.04

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Solution

The fourth proportional to 2,818.96, 4,226.40 and 870.04 is: 1,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.96 : 4,226.40 = 870.04 : x
  2. Step 2: Convert to fraction form
    2,818.96/4,226.40 = 870.04/x
  3. Step 3: Cross multiply
    2,818.96x = 4,226.40 × 870.04
  4. Step 4: Simplify right side
    2,818.96x = 3,677,137.06
  5. Step 5: Solve for x
    x = 3,677,137.06/2,818.96
  6. Step 6: Final answer
    x = 1,304.43

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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.