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Finding the Fourth Proportional to 7,955.68, 10,942.32 and 6,380.32

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Solution

The fourth proportional to 7,955.68, 10,942.32 and 6,380.32 is: 8,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955.68 : 10,942.32 = 6,380.32 : x
  2. Step 2: Convert to fraction form
    7,955.68/10,942.32 = 6,380.32/x
  3. Step 3: Cross multiply
    7,955.68x = 10,942.32 × 6,380.32
  4. Step 4: Simplify right side
    7,955.68x = 69,815,503.14
  5. Step 5: Solve for x
    x = 69,815,503.14/7,955.68
  6. Step 6: Final answer
    x = 8,775.55

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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.