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Finding the Fourth Proportional to 2,598.45, 3,899.21 and 1,039.19

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Solution

The fourth proportional to 2,598.45, 3,899.21 and 1,039.19 is: 1,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.45 : 3,899.21 = 1,039.19 : x
  2. Step 2: Convert to fraction form
    2,598.45/3,899.21 = 1,039.19/x
  3. Step 3: Cross multiply
    2,598.45x = 3,899.21 × 1,039.19
  4. Step 4: Simplify right side
    2,598.45x = 4,051,995.35
  5. Step 5: Solve for x
    x = 4,051,995.35/2,598.45
  6. Step 6: Final answer
    x = 1,559.39

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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.