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Finding the Fourth Proportional to 7,931, 10,944.78 and 4,619

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Solution

The fourth proportional to 7,931, 10,944.78 and 4,619 is: 6,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931 : 10,944.78 = 4,619 : x
  2. Step 2: Convert to fraction form
    7,931/10,944.78 = 4,619/x
  3. Step 3: Cross multiply
    7,931x = 10,944.78 × 4,619
  4. Step 4: Simplify right side
    7,931x = 50,553,938.82
  5. Step 5: Solve for x
    x = 50,553,938.82/7,931
  6. Step 6: Final answer
    x = 6,374.22

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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.