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Finding the Fourth Proportional to 2,447.38, 3,372.78 and 1,783

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Solution

The fourth proportional to 2,447.38, 3,372.78 and 1,783 is: 2,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.38 : 3,372.78 = 1,783 : x
  2. Step 2: Convert to fraction form
    2,447.38/3,372.78 = 1,783/x
  3. Step 3: Cross multiply
    2,447.38x = 3,372.78 × 1,783
  4. Step 4: Simplify right side
    2,447.38x = 6,013,666.74
  5. Step 5: Solve for x
    x = 6,013,666.74/2,447.38
  6. Step 6: Final answer
    x = 2,457.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.