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Finding the Fourth Proportional to 9,809.08, 13,536.84 and 7,447.12

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Solution

The fourth proportional to 9,809.08, 13,536.84 and 7,447.12 is: 10,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.08 : 13,536.84 = 7,447.12 : x
  2. Step 2: Convert to fraction form
    9,809.08/13,536.84 = 7,447.12/x
  3. Step 3: Cross multiply
    9,809.08x = 13,536.84 × 7,447.12
  4. Step 4: Simplify right side
    9,809.08x = 100,810,471.90
  5. Step 5: Solve for x
    x = 100,810,471.90/9,809.08
  6. Step 6: Final answer
    x = 10,277.26

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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.