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Finding the Fourth Proportional to 5,680.65, 7,838.78 and 4,189.39

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Solution

The fourth proportional to 5,680.65, 7,838.78 and 4,189.39 is: 5,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.65 : 7,838.78 = 4,189.39 : x
  2. Step 2: Convert to fraction form
    5,680.65/7,838.78 = 4,189.39/x
  3. Step 3: Cross multiply
    5,680.65x = 7,838.78 × 4,189.39
  4. Step 4: Simplify right side
    5,680.65x = 32,839,666.00
  5. Step 5: Solve for x
    x = 32,839,666.00/5,680.65
  6. Step 6: Final answer
    x = 5,780.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.