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Finding the Fourth Proportional to 9,586.64, 13,217.64 and 7,914.80

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Solution

The fourth proportional to 9,586.64, 13,217.64 and 7,914.80 is: 10,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.64 : 13,217.64 = 7,914.80 : x
  2. Step 2: Convert to fraction form
    9,586.64/13,217.64 = 7,914.80/x
  3. Step 3: Cross multiply
    9,586.64x = 13,217.64 × 7,914.80
  4. Step 4: Simplify right side
    9,586.64x = 104,614,977.07
  5. Step 5: Solve for x
    x = 104,614,977.07/9,586.64
  6. Step 6: Final answer
    x = 10,912.58

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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.