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Finding the Fourth Proportional to 6,971.80, 9,613.77 and 5,274.31

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Solution

The fourth proportional to 6,971.80, 9,613.77 and 5,274.31 is: 7,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.80 : 9,613.77 = 5,274.31 : x
  2. Step 2: Convert to fraction form
    6,971.80/9,613.77 = 5,274.31/x
  3. Step 3: Cross multiply
    6,971.80x = 9,613.77 × 5,274.31
  4. Step 4: Simplify right side
    6,971.80x = 50,706,003.25
  5. Step 5: Solve for x
    x = 50,706,003.25/6,971.80
  6. Step 6: Final answer
    x = 7,273.01

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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.