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Finding the Fourth Proportional to 2,818.40, 4,228.00 and 870.75

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Solution

The fourth proportional to 2,818.40, 4,228.00 and 870.75 is: 1,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.40 : 4,228.00 = 870.75 : x
  2. Step 2: Convert to fraction form
    2,818.40/4,228.00 = 870.75/x
  3. Step 3: Cross multiply
    2,818.40x = 4,228.00 × 870.75
  4. Step 4: Simplify right side
    2,818.40x = 3,681,528.82
  5. Step 5: Solve for x
    x = 3,681,528.82/2,818.40
  6. Step 6: Final answer
    x = 1,306.25

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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.