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Finding the Fourth Proportional to 7,129.75, 9,843.38 and 4,650.07

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Solution

The fourth proportional to 7,129.75, 9,843.38 and 4,650.07 is: 6,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.75 : 9,843.38 = 4,650.07 : x
  2. Step 2: Convert to fraction form
    7,129.75/9,843.38 = 4,650.07/x
  3. Step 3: Cross multiply
    7,129.75x = 9,843.38 × 4,650.07
  4. Step 4: Simplify right side
    7,129.75x = 45,772,406.04
  5. Step 5: Solve for x
    x = 45,772,406.04/7,129.75
  6. Step 6: Final answer
    x = 6,419.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.