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Finding the Fourth Proportional to 9,099, 13,544.30 and 8,674.20

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Solution

The fourth proportional to 9,099, 13,544.30 and 8,674.20 is: 12,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099 : 13,544.30 = 8,674.20 : x
  2. Step 2: Convert to fraction form
    9,099/13,544.30 = 8,674.20/x
  3. Step 3: Cross multiply
    9,099x = 13,544.30 × 8,674.20
  4. Step 4: Simplify right side
    9,099x = 117,485,967.06
  5. Step 5: Solve for x
    x = 117,485,967.06/9,099
  6. Step 6: Final answer
    x = 12,911.96

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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.