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Finding the Fourth Proportional to 9,278.36, 13,896 and 9,209.22

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Solution

The fourth proportional to 9,278.36, 13,896 and 9,209.22 is: 13,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.36 : 13,896 = 9,209.22 : x
  2. Step 2: Convert to fraction form
    9,278.36/13,896 = 9,209.22/x
  3. Step 3: Cross multiply
    9,278.36x = 13,896 × 9,209.22
  4. Step 4: Simplify right side
    9,278.36x = 127,971,321.12
  5. Step 5: Solve for x
    x = 127,971,321.12/9,278.36
  6. Step 6: Final answer
    x = 13,792.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.