Home / 5,207.24-7,812-2,432.40

Finding the Fourth Proportional to 5,207.24, 7,812 and 2,432.40

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Solution

The fourth proportional to 5,207.24, 7,812 and 2,432.40 is: 3,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.24 : 7,812 = 2,432.40 : x
  2. Step 2: Convert to fraction form
    5,207.24/7,812 = 2,432.40/x
  3. Step 3: Cross multiply
    5,207.24x = 7,812 × 2,432.40
  4. Step 4: Simplify right side
    5,207.24x = 19,001,908.80
  5. Step 5: Solve for x
    x = 19,001,908.80/5,207.24
  6. Step 6: Final answer
    x = 3,649.13

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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.