Home / 5,234-7,849.56-1,948.40

Finding the Fourth Proportional to 5,234, 7,849.56 and 1,948.40

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Solution

The fourth proportional to 5,234, 7,849.56 and 1,948.40 is: 2,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234 : 7,849.56 = 1,948.40 : x
  2. Step 2: Convert to fraction form
    5,234/7,849.56 = 1,948.40/x
  3. Step 3: Cross multiply
    5,234x = 7,849.56 × 1,948.40
  4. Step 4: Simplify right side
    5,234x = 15,294,082.70
  5. Step 5: Solve for x
    x = 15,294,082.70/5,234
  6. Step 6: Final answer
    x = 2,922.06

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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.