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Finding the Fourth Proportional to 4,671.32, 7,007 and 1,208.56

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Solution

The fourth proportional to 4,671.32, 7,007 and 1,208.56 is: 1,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.32 : 7,007 = 1,208.56 : x
  2. Step 2: Convert to fraction form
    4,671.32/7,007 = 1,208.56/x
  3. Step 3: Cross multiply
    4,671.32x = 7,007 × 1,208.56
  4. Step 4: Simplify right side
    4,671.32x = 8,468,379.92
  5. Step 5: Solve for x
    x = 8,468,379.92/4,671.32
  6. Step 6: Final answer
    x = 1,812.85

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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.