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Finding the Fourth Proportional to 7,966, 10,992.78 and 4,429.12

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Solution

The fourth proportional to 7,966, 10,992.78 and 4,429.12 is: 6,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966 : 10,992.78 = 4,429.12 : x
  2. Step 2: Convert to fraction form
    7,966/10,992.78 = 4,429.12/x
  3. Step 3: Cross multiply
    7,966x = 10,992.78 × 4,429.12
  4. Step 4: Simplify right side
    7,966x = 48,688,341.75
  5. Step 5: Solve for x
    x = 48,688,341.75/7,966
  6. Step 6: Final answer
    x = 6,112.02

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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.