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Finding the Fourth Proportional to 3,780, 5,667.12 and 2,547.72

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Solution

The fourth proportional to 3,780, 5,667.12 and 2,547.72 is: 3,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 5,667.12 = 2,547.72 : x
  2. Step 2: Convert to fraction form
    3,780/5,667.12 = 2,547.72/x
  3. Step 3: Cross multiply
    3,780x = 5,667.12 × 2,547.72
  4. Step 4: Simplify right side
    3,780x = 14,438,234.97
  5. Step 5: Solve for x
    x = 14,438,234.97/3,780
  6. Step 6: Final answer
    x = 3,819.64

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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.