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Finding the Fourth Proportional to 10,089.30, 13,908.06 and 7,961.16

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Solution

The fourth proportional to 10,089.30, 13,908.06 and 7,961.16 is: 10,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.30 : 13,908.06 = 7,961.16 : x
  2. Step 2: Convert to fraction form
    10,089.30/13,908.06 = 7,961.16/x
  3. Step 3: Cross multiply
    10,089.30x = 13,908.06 × 7,961.16
  4. Step 4: Simplify right side
    10,089.30x = 110,724,290.95
  5. Step 5: Solve for x
    x = 110,724,290.95/10,089.30
  6. Step 6: Final answer
    x = 10,974.43

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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.