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Finding the Fourth Proportional to 7,959.84, 11,930.76 and 4,056

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Solution

The fourth proportional to 7,959.84, 11,930.76 and 4,056 is: 6,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.84 : 11,930.76 = 4,056 : x
  2. Step 2: Convert to fraction form
    7,959.84/11,930.76 = 4,056/x
  3. Step 3: Cross multiply
    7,959.84x = 11,930.76 × 4,056
  4. Step 4: Simplify right side
    7,959.84x = 48,391,162.56
  5. Step 5: Solve for x
    x = 48,391,162.56/7,959.84
  6. Step 6: Final answer
    x = 6,079.41

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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.