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Finding the Fourth Proportional to 2,818, 3,889.16 and 1,559.20

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Solution

The fourth proportional to 2,818, 3,889.16 and 1,559.20 is: 2,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818 : 3,889.16 = 1,559.20 : x
  2. Step 2: Convert to fraction form
    2,818/3,889.16 = 1,559.20/x
  3. Step 3: Cross multiply
    2,818x = 3,889.16 × 1,559.20
  4. Step 4: Simplify right side
    2,818x = 6,063,978.27
  5. Step 5: Solve for x
    x = 6,063,978.27/2,818
  6. Step 6: Final answer
    x = 2,151.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.