Home / 5,140.54-7,712.70-2,509.12

Finding the Fourth Proportional to 5,140.54, 7,712.70 and 2,509.12

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Solution

The fourth proportional to 5,140.54, 7,712.70 and 2,509.12 is: 3,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.54 : 7,712.70 = 2,509.12 : x
  2. Step 2: Convert to fraction form
    5,140.54/7,712.70 = 2,509.12/x
  3. Step 3: Cross multiply
    5,140.54x = 7,712.70 × 2,509.12
  4. Step 4: Simplify right side
    5,140.54x = 19,352,089.82
  5. Step 5: Solve for x
    x = 19,352,089.82/5,140.54
  6. Step 6: Final answer
    x = 3,764.60

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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.