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Finding the Fourth Proportional to 7,998.72, 11,980.44 and 4,711.20

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Solution

The fourth proportional to 7,998.72, 11,980.44 and 4,711.20 is: 7,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.72 : 11,980.44 = 4,711.20 : x
  2. Step 2: Convert to fraction form
    7,998.72/11,980.44 = 4,711.20/x
  3. Step 3: Cross multiply
    7,998.72x = 11,980.44 × 4,711.20
  4. Step 4: Simplify right side
    7,998.72x = 56,442,248.93
  5. Step 5: Solve for x
    x = 56,442,248.93/7,998.72
  6. Step 6: Final answer
    x = 7,056.41

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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.