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Finding the Fourth Proportional to 7,161.09, 9,817.08 and 7,046.28

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Solution

The fourth proportional to 7,161.09, 9,817.08 and 7,046.28 is: 9,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.09 : 9,817.08 = 7,046.28 : x
  2. Step 2: Convert to fraction form
    7,161.09/9,817.08 = 7,046.28/x
  3. Step 3: Cross multiply
    7,161.09x = 9,817.08 × 7,046.28
  4. Step 4: Simplify right side
    7,161.09x = 69,173,894.46
  5. Step 5: Solve for x
    x = 69,173,894.46/7,161.09
  6. Step 6: Final answer
    x = 9,659.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.