Home / 5,760-7,948.98-3,404.16

Finding the Fourth Proportional to 5,760, 7,948.98 and 3,404.16

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Solution

The fourth proportional to 5,760, 7,948.98 and 3,404.16 is: 4,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 7,948.98 = 3,404.16 : x
  2. Step 2: Convert to fraction form
    5,760/7,948.98 = 3,404.16/x
  3. Step 3: Cross multiply
    5,760x = 7,948.98 × 3,404.16
  4. Step 4: Simplify right side
    5,760x = 27,059,599.76
  5. Step 5: Solve for x
    x = 27,059,599.76/5,760
  6. Step 6: Final answer
    x = 4,697.85

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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.