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Finding the Fourth Proportional to 2,818, 4,223.16 and 1,520.08

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Solution

The fourth proportional to 2,818, 4,223.16 and 1,520.08 is: 2,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818 : 4,223.16 = 1,520.08 : x
  2. Step 2: Convert to fraction form
    2,818/4,223.16 = 1,520.08/x
  3. Step 3: Cross multiply
    2,818x = 4,223.16 × 1,520.08
  4. Step 4: Simplify right side
    2,818x = 6,419,541.05
  5. Step 5: Solve for x
    x = 6,419,541.05/2,818
  6. Step 6: Final answer
    x = 2,278.05

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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.