Home / 5,230-7,848.24-3,039.76

Finding the Fourth Proportional to 5,230, 7,848.24 and 3,039.76

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Solution

The fourth proportional to 5,230, 7,848.24 and 3,039.76 is: 4,561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230 : 7,848.24 = 3,039.76 : x
  2. Step 2: Convert to fraction form
    5,230/7,848.24 = 3,039.76/x
  3. Step 3: Cross multiply
    5,230x = 7,848.24 × 3,039.76
  4. Step 4: Simplify right side
    5,230x = 23,856,766.02
  5. Step 5: Solve for x
    x = 23,856,766.02/5,230
  6. Step 6: Final answer
    x = 4,561.52

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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.