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Finding the Fourth Proportional to 9,084.90, 13,611.15 and 7,788.90

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Solution

The fourth proportional to 9,084.90, 13,611.15 and 7,788.90 is: 11,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.90 : 13,611.15 = 7,788.90 : x
  2. Step 2: Convert to fraction form
    9,084.90/13,611.15 = 7,788.90/x
  3. Step 3: Cross multiply
    9,084.90x = 13,611.15 × 7,788.90
  4. Step 4: Simplify right side
    9,084.90x = 106,015,886.24
  5. Step 5: Solve for x
    x = 106,015,886.24/9,084.90
  6. Step 6: Final answer
    x = 11,669.46

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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.