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Finding the Fourth Proportional to 8,259.70, 12,389.45 and 2,019.77

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Solution

The fourth proportional to 8,259.70, 12,389.45 and 2,019.77 is: 3,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259.70 : 12,389.45 = 2,019.77 : x
  2. Step 2: Convert to fraction form
    8,259.70/12,389.45 = 2,019.77/x
  3. Step 3: Cross multiply
    8,259.70x = 12,389.45 × 2,019.77
  4. Step 4: Simplify right side
    8,259.70x = 25,023,829.33
  5. Step 5: Solve for x
    x = 25,023,829.33/8,259.70
  6. Step 6: Final answer
    x = 3,029.63

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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.