Home / 5,219.30-7,828.80-2,098.34

Finding the Fourth Proportional to 5,219.30, 7,828.80 and 2,098.34

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Solution

The fourth proportional to 5,219.30, 7,828.80 and 2,098.34 is: 3,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.30 : 7,828.80 = 2,098.34 : x
  2. Step 2: Convert to fraction form
    5,219.30/7,828.80 = 2,098.34/x
  3. Step 3: Cross multiply
    5,219.30x = 7,828.80 × 2,098.34
  4. Step 4: Simplify right side
    5,219.30x = 16,427,484.19
  5. Step 5: Solve for x
    x = 16,427,484.19/5,219.30
  6. Step 6: Final answer
    x = 3,147.45

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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.