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Finding the Fourth Proportional to 2,899.78, 3,999.90 and 1,780.28

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Solution

The fourth proportional to 2,899.78, 3,999.90 and 1,780.28 is: 2,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.78 : 3,999.90 = 1,780.28 : x
  2. Step 2: Convert to fraction form
    2,899.78/3,999.90 = 1,780.28/x
  3. Step 3: Cross multiply
    2,899.78x = 3,999.90 × 1,780.28
  4. Step 4: Simplify right side
    2,899.78x = 7,120,941.97
  5. Step 5: Solve for x
    x = 7,120,941.97/2,899.78
  6. Step 6: Final answer
    x = 2,455.68

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1.5x scale

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.