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Finding the Fourth Proportional to 9,134.60, 13,690.54 and 4,749.48

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Solution

The fourth proportional to 9,134.60, 13,690.54 and 4,749.48 is: 7,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.60 : 13,690.54 = 4,749.48 : x
  2. Step 2: Convert to fraction form
    9,134.60/13,690.54 = 4,749.48/x
  3. Step 3: Cross multiply
    9,134.60x = 13,690.54 × 4,749.48
  4. Step 4: Simplify right side
    9,134.60x = 65,022,945.92
  5. Step 5: Solve for x
    x = 65,022,945.92/9,134.60
  6. Step 6: Final answer
    x = 7,118.31

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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.