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Finding the Fourth Proportional to 7,963.84, 10,990 and 4,426.96

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Solution

The fourth proportional to 7,963.84, 10,990 and 4,426.96 is: 6,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.84 : 10,990 = 4,426.96 : x
  2. Step 2: Convert to fraction form
    7,963.84/10,990 = 4,426.96/x
  3. Step 3: Cross multiply
    7,963.84x = 10,990 × 4,426.96
  4. Step 4: Simplify right side
    7,963.84x = 48,652,290.40
  5. Step 5: Solve for x
    x = 48,652,290.40/7,963.84
  6. Step 6: Final answer
    x = 6,109.15

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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.