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Finding the Fourth Proportional to 7,724.88, 11,487.94 and 7,478.84

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Solution

The fourth proportional to 7,724.88, 11,487.94 and 7,478.84 is: 11,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.88 : 11,487.94 = 7,478.84 : x
  2. Step 2: Convert to fraction form
    7,724.88/11,487.94 = 7,478.84/x
  3. Step 3: Cross multiply
    7,724.88x = 11,487.94 × 7,478.84
  4. Step 4: Simplify right side
    7,724.88x = 85,916,465.19
  5. Step 5: Solve for x
    x = 85,916,465.19/7,724.88
  6. Step 6: Final answer
    x = 11,122.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.