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Finding the Fourth Proportional to 7,918, 10,928.92 and 4,561.20

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Solution

The fourth proportional to 7,918, 10,928.92 and 4,561.20 is: 6,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918 : 10,928.92 = 4,561.20 : x
  2. Step 2: Convert to fraction form
    7,918/10,928.92 = 4,561.20/x
  3. Step 3: Cross multiply
    7,918x = 10,928.92 × 4,561.20
  4. Step 4: Simplify right side
    7,918x = 49,848,989.90
  5. Step 5: Solve for x
    x = 49,848,989.90/7,918
  6. Step 6: Final answer
    x = 6,295.65

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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.