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Finding the Fourth Proportional to 3,779.84, 5,669.40 and 1,497.80

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Solution

The fourth proportional to 3,779.84, 5,669.40 and 1,497.80 is: 2,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.84 : 5,669.40 = 1,497.80 : x
  2. Step 2: Convert to fraction form
    3,779.84/5,669.40 = 1,497.80/x
  3. Step 3: Cross multiply
    3,779.84x = 5,669.40 × 1,497.80
  4. Step 4: Simplify right side
    3,779.84x = 8,491,627.32
  5. Step 5: Solve for x
    x = 8,491,627.32/3,779.84
  6. Step 6: Final answer
    x = 2,246.56

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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.