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Finding the Fourth Proportional to 7,756.73, 11,635.02 and 1,913.39

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Solution

The fourth proportional to 7,756.73, 11,635.02 and 1,913.39 is: 2,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.73 : 11,635.02 = 1,913.39 : x
  2. Step 2: Convert to fraction form
    7,756.73/11,635.02 = 1,913.39/x
  3. Step 3: Cross multiply
    7,756.73x = 11,635.02 × 1,913.39
  4. Step 4: Simplify right side
    7,756.73x = 22,262,272.74
  5. Step 5: Solve for x
    x = 22,262,272.74/7,756.73
  6. Step 6: Final answer
    x = 2,870.06

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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.