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Finding the Fourth Proportional to 3,780.06, 5,669.64 and 1,006.62

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Solution

The fourth proportional to 3,780.06, 5,669.64 and 1,006.62 is: 1,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.06 : 5,669.64 = 1,006.62 : x
  2. Step 2: Convert to fraction form
    3,780.06/5,669.64 = 1,006.62/x
  3. Step 3: Cross multiply
    3,780.06x = 5,669.64 × 1,006.62
  4. Step 4: Simplify right side
    3,780.06x = 5,707,173.02
  5. Step 5: Solve for x
    x = 5,707,173.02/3,780.06
  6. Step 6: Final answer
    x = 1,509.81

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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.