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Finding the Fourth Proportional to 4,478.46, 6,726.08 and 4,112.76

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Solution

The fourth proportional to 4,478.46, 6,726.08 and 4,112.76 is: 6,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.46 : 6,726.08 = 4,112.76 : x
  2. Step 2: Convert to fraction form
    4,478.46/6,726.08 = 4,112.76/x
  3. Step 3: Cross multiply
    4,478.46x = 6,726.08 × 4,112.76
  4. Step 4: Simplify right side
    4,478.46x = 27,662,732.22
  5. Step 5: Solve for x
    x = 27,662,732.22/4,478.46
  6. Step 6: Final answer
    x = 6,176.84

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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.