Home / 10,289.41-15,434-2,498.22

Finding the Fourth Proportional to 10,289.41, 15,434 and 2,498.22

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Solution

The fourth proportional to 10,289.41, 15,434 and 2,498.22 is: 3,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.41 : 15,434 = 2,498.22 : x
  2. Step 2: Convert to fraction form
    10,289.41/15,434 = 2,498.22/x
  3. Step 3: Cross multiply
    10,289.41x = 15,434 × 2,498.22
  4. Step 4: Simplify right side
    10,289.41x = 38,557,527.48
  5. Step 5: Solve for x
    x = 38,557,527.48/10,289.41
  6. Step 6: Final answer
    x = 3,747.30

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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.