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Finding the Fourth Proportional to 4,672.50, 7,008.78 and 1,209.78

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Solution

The fourth proportional to 4,672.50, 7,008.78 and 1,209.78 is: 1,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.50 : 7,008.78 = 1,209.78 : x
  2. Step 2: Convert to fraction form
    4,672.50/7,008.78 = 1,209.78/x
  3. Step 3: Cross multiply
    4,672.50x = 7,008.78 × 1,209.78
  4. Step 4: Simplify right side
    4,672.50x = 8,479,081.87
  5. Step 5: Solve for x
    x = 8,479,081.87/4,672.50
  6. Step 6: Final answer
    x = 1,814.68

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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.