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Finding the Fourth Proportional to 9,881.14, 13,628.10 and 8,393.98

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Solution

The fourth proportional to 9,881.14, 13,628.10 and 8,393.98 is: 11,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.14 : 13,628.10 = 8,393.98 : x
  2. Step 2: Convert to fraction form
    9,881.14/13,628.10 = 8,393.98/x
  3. Step 3: Cross multiply
    9,881.14x = 13,628.10 × 8,393.98
  4. Step 4: Simplify right side
    9,881.14x = 114,393,998.84
  5. Step 5: Solve for x
    x = 114,393,998.84/9,881.14
  6. Step 6: Final answer
    x = 11,577.00

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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.