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Finding the Fourth Proportional to 9,226.88, 13,895.06 and 8,313.20

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Solution

The fourth proportional to 9,226.88, 13,895.06 and 8,313.20 is: 12,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.88 : 13,895.06 = 8,313.20 : x
  2. Step 2: Convert to fraction form
    9,226.88/13,895.06 = 8,313.20/x
  3. Step 3: Cross multiply
    9,226.88x = 13,895.06 × 8,313.20
  4. Step 4: Simplify right side
    9,226.88x = 115,512,412.79
  5. Step 5: Solve for x
    x = 115,512,412.79/9,226.88
  6. Step 6: Final answer
    x = 12,519.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.