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Finding the Fourth Proportional to 9,092.80, 12,512.64 and 8,047.36

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Solution

The fourth proportional to 9,092.80, 12,512.64 and 8,047.36 is: 11,074.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.80 : 12,512.64 = 8,047.36 : x
  2. Step 2: Convert to fraction form
    9,092.80/12,512.64 = 8,047.36/x
  3. Step 3: Cross multiply
    9,092.80x = 12,512.64 × 8,047.36
  4. Step 4: Simplify right side
    9,092.80x = 100,693,718.63
  5. Step 5: Solve for x
    x = 100,693,718.63/9,092.80
  6. Step 6: Final answer
    x = 11,074.01

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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.