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Finding the Fourth Proportional to 3,115.66, 4,675.81 and 1,472.71

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Solution

The fourth proportional to 3,115.66, 4,675.81 and 1,472.71 is: 2,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.66 : 4,675.81 = 1,472.71 : x
  2. Step 2: Convert to fraction form
    3,115.66/4,675.81 = 1,472.71/x
  3. Step 3: Cross multiply
    3,115.66x = 4,675.81 × 1,472.71
  4. Step 4: Simplify right side
    3,115.66x = 6,886,099.86
  5. Step 5: Solve for x
    x = 6,886,099.86/3,115.66
  6. Step 6: Final answer
    x = 2,210.16

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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.