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Finding the Fourth Proportional to 7,804.42, 11,713.20 and 3,127.72

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Solution

The fourth proportional to 7,804.42, 11,713.20 and 3,127.72 is: 4,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.42 : 11,713.20 = 3,127.72 : x
  2. Step 2: Convert to fraction form
    7,804.42/11,713.20 = 3,127.72/x
  3. Step 3: Cross multiply
    7,804.42x = 11,713.20 × 3,127.72
  4. Step 4: Simplify right side
    7,804.42x = 36,635,609.90
  5. Step 5: Solve for x
    x = 36,635,609.90/7,804.42
  6. Step 6: Final answer
    x = 4,694.21

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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.