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Finding the Fourth Proportional to 9,146.75, 13,638.16 and 8,980.68

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Solution

The fourth proportional to 9,146.75, 13,638.16 and 8,980.68 is: 13,390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.75 : 13,638.16 = 8,980.68 : x
  2. Step 2: Convert to fraction form
    9,146.75/13,638.16 = 8,980.68/x
  3. Step 3: Cross multiply
    9,146.75x = 13,638.16 × 8,980.68
  4. Step 4: Simplify right side
    9,146.75x = 122,479,928.30
  5. Step 5: Solve for x
    x = 122,479,928.30/9,146.75
  6. Step 6: Final answer
    x = 13,390.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.