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Finding the Fourth Proportional to 12,391.68, 17,099.46 and 7,085.64

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Solution

The fourth proportional to 12,391.68, 17,099.46 and 7,085.64 is: 9,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,391.68 : 17,099.46 = 7,085.64 : x
  2. Step 2: Convert to fraction form
    12,391.68/17,099.46 = 7,085.64/x
  3. Step 3: Cross multiply
    12,391.68x = 17,099.46 × 7,085.64
  4. Step 4: Simplify right side
    12,391.68x = 121,160,617.75
  5. Step 5: Solve for x
    x = 121,160,617.75/12,391.68
  6. Step 6: Final answer
    x = 9,777.58

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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.