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Finding the Fourth Proportional to 7,930.88, 10,932 and 7,280

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Solution

The fourth proportional to 7,930.88, 10,932 and 7,280 is: 10,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.88 : 10,932 = 7,280 : x
  2. Step 2: Convert to fraction form
    7,930.88/10,932 = 7,280/x
  3. Step 3: Cross multiply
    7,930.88x = 10,932 × 7,280
  4. Step 4: Simplify right side
    7,930.88x = 79,584,960
  5. Step 5: Solve for x
    x = 79,584,960/7,930.88
  6. Step 6: Final answer
    x = 10,034.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.