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Finding the Fourth Proportional to 7,920.18, 10,930.68 and 5,927.24

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Solution

The fourth proportional to 7,920.18, 10,930.68 and 5,927.24 is: 8,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.18 : 10,930.68 = 5,927.24 : x
  2. Step 2: Convert to fraction form
    7,920.18/10,930.68 = 5,927.24/x
  3. Step 3: Cross multiply
    7,920.18x = 10,930.68 × 5,927.24
  4. Step 4: Simplify right side
    7,920.18x = 64,788,791.05
  5. Step 5: Solve for x
    x = 64,788,791.05/7,920.18
  6. Step 6: Final answer
    x = 8,180.22

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1.5x scale

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.