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Finding the Fourth Proportional to 7,705.87, 11,556.88 and 2,157.77

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Solution

The fourth proportional to 7,705.87, 11,556.88 and 2,157.77 is: 3,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.87 : 11,556.88 = 2,157.77 : x
  2. Step 2: Convert to fraction form
    7,705.87/11,556.88 = 2,157.77/x
  3. Step 3: Cross multiply
    7,705.87x = 11,556.88 × 2,157.77
  4. Step 4: Simplify right side
    7,705.87x = 24,937,112.46
  5. Step 5: Solve for x
    x = 24,937,112.46/7,705.87
  6. Step 6: Final answer
    x = 3,236.12

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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.