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Finding the Fourth Proportional to 7,959.84, 10,984.50 and 4,422.98

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Solution

The fourth proportional to 7,959.84, 10,984.50 and 4,422.98 is: 6,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.84 : 10,984.50 = 4,422.98 : x
  2. Step 2: Convert to fraction form
    7,959.84/10,984.50 = 4,422.98/x
  3. Step 3: Cross multiply
    7,959.84x = 10,984.50 × 4,422.98
  4. Step 4: Simplify right side
    7,959.84x = 48,584,168.89
  5. Step 5: Solve for x
    x = 48,584,168.89/7,959.84
  6. Step 6: Final answer
    x = 6,103.66

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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.