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Finding the Fourth Proportional to 7,937.76, 10,939 and 5,813.94

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Solution

The fourth proportional to 7,937.76, 10,939 and 5,813.94 is: 8,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.76 : 10,939 = 5,813.94 : x
  2. Step 2: Convert to fraction form
    7,937.76/10,939 = 5,813.94/x
  3. Step 3: Cross multiply
    7,937.76x = 10,939 × 5,813.94
  4. Step 4: Simplify right side
    7,937.76x = 63,598,689.66
  5. Step 5: Solve for x
    x = 63,598,689.66/7,937.76
  6. Step 6: Final answer
    x = 8,012.17

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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.