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Finding the Fourth Proportional to 3,780.74, 5,669.17 and 1,698.96

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Solution

The fourth proportional to 3,780.74, 5,669.17 and 1,698.96 is: 2,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.74 : 5,669.17 = 1,698.96 : x
  2. Step 2: Convert to fraction form
    3,780.74/5,669.17 = 1,698.96/x
  3. Step 3: Cross multiply
    3,780.74x = 5,669.17 × 1,698.96
  4. Step 4: Simplify right side
    3,780.74x = 9,631,693.06
  5. Step 5: Solve for x
    x = 9,631,693.06/3,780.74
  6. Step 6: Final answer
    x = 2,547.57

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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.