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Finding the Fourth Proportional to 7,942.96, 10,959.06 and 6,259.15

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Solution

The fourth proportional to 7,942.96, 10,959.06 and 6,259.15 is: 8,635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.96 : 10,959.06 = 6,259.15 : x
  2. Step 2: Convert to fraction form
    7,942.96/10,959.06 = 6,259.15/x
  3. Step 3: Cross multiply
    7,942.96x = 10,959.06 × 6,259.15
  4. Step 4: Simplify right side
    7,942.96x = 68,594,400.40
  5. Step 5: Solve for x
    x = 68,594,400.40/7,942.96
  6. Step 6: Final answer
    x = 8,635.87

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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.