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Finding the Fourth Proportional to 7,705.32, 11,549.16 and 3,758.64

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Solution

The fourth proportional to 7,705.32, 11,549.16 and 3,758.64 is: 5,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.32 : 11,549.16 = 3,758.64 : x
  2. Step 2: Convert to fraction form
    7,705.32/11,549.16 = 3,758.64/x
  3. Step 3: Cross multiply
    7,705.32x = 11,549.16 × 3,758.64
  4. Step 4: Simplify right side
    7,705.32x = 43,409,134.74
  5. Step 5: Solve for x
    x = 43,409,134.74/7,705.32
  6. Step 6: Final answer
    x = 5,633.66

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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.