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Finding the Fourth Proportional to 7,854.76, 11,756.22 and 6,990.76

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Solution

The fourth proportional to 7,854.76, 11,756.22 and 6,990.76 is: 10,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.76 : 11,756.22 = 6,990.76 : x
  2. Step 2: Convert to fraction form
    7,854.76/11,756.22 = 6,990.76/x
  3. Step 3: Cross multiply
    7,854.76x = 11,756.22 × 6,990.76
  4. Step 4: Simplify right side
    7,854.76x = 82,184,912.53
  5. Step 5: Solve for x
    x = 82,184,912.53/7,854.76
  6. Step 6: Final answer
    x = 10,463.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.