Home / 2,509.18-3,761.61-1,415.14

Finding the Fourth Proportional to 2,509.18, 3,761.61 and 1,415.14

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Solution

The fourth proportional to 2,509.18, 3,761.61 and 1,415.14 is: 2,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.18 : 3,761.61 = 1,415.14 : x
  2. Step 2: Convert to fraction form
    2,509.18/3,761.61 = 1,415.14/x
  3. Step 3: Cross multiply
    2,509.18x = 3,761.61 × 1,415.14
  4. Step 4: Simplify right side
    2,509.18x = 5,323,204.78
  5. Step 5: Solve for x
    x = 5,323,204.78/2,509.18
  6. Step 6: Final answer
    x = 2,121.49

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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.