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Finding the Fourth Proportional to 7,869.68, 11,805.15 and 2,026.28

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Solution

The fourth proportional to 7,869.68, 11,805.15 and 2,026.28 is: 3,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.68 : 11,805.15 = 2,026.28 : x
  2. Step 2: Convert to fraction form
    7,869.68/11,805.15 = 2,026.28/x
  3. Step 3: Cross multiply
    7,869.68x = 11,805.15 × 2,026.28
  4. Step 4: Simplify right side
    7,869.68x = 23,920,539.34
  5. Step 5: Solve for x
    x = 23,920,539.34/7,869.68
  6. Step 6: Final answer
    x = 3,039.58

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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.