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Finding the Fourth Proportional to 4,711.80, 7,066.50 and 1,939.23

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Solution

The fourth proportional to 4,711.80, 7,066.50 and 1,939.23 is: 2,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.80 : 7,066.50 = 1,939.23 : x
  2. Step 2: Convert to fraction form
    4,711.80/7,066.50 = 1,939.23/x
  3. Step 3: Cross multiply
    4,711.80x = 7,066.50 × 1,939.23
  4. Step 4: Simplify right side
    4,711.80x = 13,703,568.80
  5. Step 5: Solve for x
    x = 13,703,568.80/4,711.80
  6. Step 6: Final answer
    x = 2,908.35

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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.