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Finding the Fourth Proportional to 7,943.72, 10,966.95 and 4,961.12

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Solution

The fourth proportional to 7,943.72, 10,966.95 and 4,961.12 is: 6,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.72 : 10,966.95 = 4,961.12 : x
  2. Step 2: Convert to fraction form
    7,943.72/10,966.95 = 4,961.12/x
  3. Step 3: Cross multiply
    7,943.72x = 10,966.95 × 4,961.12
  4. Step 4: Simplify right side
    7,943.72x = 54,408,300.15
  5. Step 5: Solve for x
    x = 54,408,300.15/7,943.72
  6. Step 6: Final answer
    x = 6,849.23

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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.