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Finding the Fourth Proportional to 9,990.87, 13,774.59 and 8,191.74

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Solution

The fourth proportional to 9,990.87, 13,774.59 and 8,191.74 is: 11,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,990.87 : 13,774.59 = 8,191.74 : x
  2. Step 2: Convert to fraction form
    9,990.87/13,774.59 = 8,191.74/x
  3. Step 3: Cross multiply
    9,990.87x = 13,774.59 × 8,191.74
  4. Step 4: Simplify right side
    9,990.87x = 112,837,859.89
  5. Step 5: Solve for x
    x = 112,837,859.89/9,990.87
  6. Step 6: Final answer
    x = 11,294.10

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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.