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Finding the Fourth Proportional to 5,409.17, 8,113.82 and 1,899.03

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Solution

The fourth proportional to 5,409.17, 8,113.82 and 1,899.03 is: 2,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.17 : 8,113.82 = 1,899.03 : x
  2. Step 2: Convert to fraction form
    5,409.17/8,113.82 = 1,899.03/x
  3. Step 3: Cross multiply
    5,409.17x = 8,113.82 × 1,899.03
  4. Step 4: Simplify right side
    5,409.17x = 15,408,378.10
  5. Step 5: Solve for x
    x = 15,408,378.10/5,409.17
  6. Step 6: Final answer
    x = 2,848.57

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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.