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Finding the Fourth Proportional to 9,039, 13,544.64 and 5,742

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Solution

The fourth proportional to 9,039, 13,544.64 and 5,742 is: 8,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039 : 13,544.64 = 5,742 : x
  2. Step 2: Convert to fraction form
    9,039/13,544.64 = 5,742/x
  3. Step 3: Cross multiply
    9,039x = 13,544.64 × 5,742
  4. Step 4: Simplify right side
    9,039x = 77,773,322.88
  5. Step 5: Solve for x
    x = 77,773,322.88/9,039
  6. Step 6: Final answer
    x = 8,604.20

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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.