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Finding the Fourth Proportional to 5,818, 8,729.80 and 2,896.56

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Solution

The fourth proportional to 5,818, 8,729.80 and 2,896.56 is: 4,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818 : 8,729.80 = 2,896.56 : x
  2. Step 2: Convert to fraction form
    5,818/8,729.80 = 2,896.56/x
  3. Step 3: Cross multiply
    5,818x = 8,729.80 × 2,896.56
  4. Step 4: Simplify right side
    5,818x = 25,286,389.49
  5. Step 5: Solve for x
    x = 25,286,389.49/5,818
  6. Step 6: Final answer
    x = 4,346.23

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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.