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Finding the Fourth Proportional to 5,390.65, 8,074.63 and 2,471.41

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Solution

The fourth proportional to 5,390.65, 8,074.63 and 2,471.41 is: 3,701.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.65 : 8,074.63 = 2,471.41 : x
  2. Step 2: Convert to fraction form
    5,390.65/8,074.63 = 2,471.41/x
  3. Step 3: Cross multiply
    5,390.65x = 8,074.63 × 2,471.41
  4. Step 4: Simplify right side
    5,390.65x = 19,955,721.33
  5. Step 5: Solve for x
    x = 19,955,721.33/5,390.65
  6. Step 6: Final answer
    x = 3,701.91

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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.