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Finding the Fourth Proportional to 7,933, 10,942.98 and 4,947.40

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Solution

The fourth proportional to 7,933, 10,942.98 and 4,947.40 is: 6,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933 : 10,942.98 = 4,947.40 : x
  2. Step 2: Convert to fraction form
    7,933/10,942.98 = 4,947.40/x
  3. Step 3: Cross multiply
    7,933x = 10,942.98 × 4,947.40
  4. Step 4: Simplify right side
    7,933x = 54,139,299.25
  5. Step 5: Solve for x
    x = 54,139,299.25/7,933
  6. Step 6: Final answer
    x = 6,824.57

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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.