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Finding the Fourth Proportional to 7,862.47, 11,793.70 and 2,019.09

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Solution

The fourth proportional to 7,862.47, 11,793.70 and 2,019.09 is: 3,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.47 : 11,793.70 = 2,019.09 : x
  2. Step 2: Convert to fraction form
    7,862.47/11,793.70 = 2,019.09/x
  3. Step 3: Cross multiply
    7,862.47x = 11,793.70 × 2,019.09
  4. Step 4: Simplify right side
    7,862.47x = 23,812,588.48
  5. Step 5: Solve for x
    x = 23,812,588.48/7,862.47
  6. Step 6: Final answer
    x = 3,028.64

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1.5x scale

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.