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Finding the Fourth Proportional to 8,585.64, 11,859.30 and 7,099.56

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Solution

The fourth proportional to 8,585.64, 11,859.30 and 7,099.56 is: 9,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.64 : 11,859.30 = 7,099.56 : x
  2. Step 2: Convert to fraction form
    8,585.64/11,859.30 = 7,099.56/x
  3. Step 3: Cross multiply
    8,585.64x = 11,859.30 × 7,099.56
  4. Step 4: Simplify right side
    8,585.64x = 84,195,811.91
  5. Step 5: Solve for x
    x = 84,195,811.91/8,585.64
  6. Step 6: Final answer
    x = 9,806.59

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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.