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Finding the Fourth Proportional to 4,478, 6,684.13 and 4,148.13

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Solution

The fourth proportional to 4,478, 6,684.13 and 4,148.13 is: 6,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478 : 6,684.13 = 4,148.13 : x
  2. Step 2: Convert to fraction form
    4,478/6,684.13 = 4,148.13/x
  3. Step 3: Cross multiply
    4,478x = 6,684.13 × 4,148.13
  4. Step 4: Simplify right side
    4,478x = 27,726,606.76
  5. Step 5: Solve for x
    x = 27,726,606.76/4,478
  6. Step 6: Final answer
    x = 6,191.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.