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Finding the Fourth Proportional to 2,899.13, 4,351 and 1,050.78

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Solution

The fourth proportional to 2,899.13, 4,351 and 1,050.78 is: 1,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.13 : 4,351 = 1,050.78 : x
  2. Step 2: Convert to fraction form
    2,899.13/4,351 = 1,050.78/x
  3. Step 3: Cross multiply
    2,899.13x = 4,351 × 1,050.78
  4. Step 4: Simplify right side
    2,899.13x = 4,571,922.03
  5. Step 5: Solve for x
    x = 4,571,922.03/2,899.13
  6. Step 6: Final answer
    x = 1,577.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.