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Finding the Fourth Proportional to 7,611.64, 11,409.73 and 5,146.74

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Solution

The fourth proportional to 7,611.64, 11,409.73 and 5,146.74 is: 7,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.64 : 11,409.73 = 5,146.74 : x
  2. Step 2: Convert to fraction form
    7,611.64/11,409.73 = 5,146.74/x
  3. Step 3: Cross multiply
    7,611.64x = 11,409.73 × 5,146.74
  4. Step 4: Simplify right side
    7,611.64x = 58,722,900.91
  5. Step 5: Solve for x
    x = 58,722,900.91/7,611.64
  6. Step 6: Final answer
    x = 7,714.88

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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.