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Finding the Fourth Proportional to 7,929.84, 11,894.82 and 2,086.50

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Solution

The fourth proportional to 7,929.84, 11,894.82 and 2,086.50 is: 3,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.84 : 11,894.82 = 2,086.50 : x
  2. Step 2: Convert to fraction form
    7,929.84/11,894.82 = 2,086.50/x
  3. Step 3: Cross multiply
    7,929.84x = 11,894.82 × 2,086.50
  4. Step 4: Simplify right side
    7,929.84x = 24,818,541.93
  5. Step 5: Solve for x
    x = 24,818,541.93/7,929.84
  6. Step 6: Final answer
    x = 3,129.77

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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.