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Finding the Fourth Proportional to 7,092.64, 9,782.76 and 5,204.80

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Solution

The fourth proportional to 7,092.64, 9,782.76 and 5,204.80 is: 7,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.64 : 9,782.76 = 5,204.80 : x
  2. Step 2: Convert to fraction form
    7,092.64/9,782.76 = 5,204.80/x
  3. Step 3: Cross multiply
    7,092.64x = 9,782.76 × 5,204.80
  4. Step 4: Simplify right side
    7,092.64x = 50,917,309.25
  5. Step 5: Solve for x
    x = 50,917,309.25/7,092.64
  6. Step 6: Final answer
    x = 7,178.89

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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.