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Finding the Fourth Proportional to 12,099.40, 18,154.86 and 9,507.40

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Solution

The fourth proportional to 12,099.40, 18,154.86 and 9,507.40 is: 14,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,099.40 : 18,154.86 = 9,507.40 : x
  2. Step 2: Convert to fraction form
    12,099.40/18,154.86 = 9,507.40/x
  3. Step 3: Cross multiply
    12,099.40x = 18,154.86 × 9,507.40
  4. Step 4: Simplify right side
    12,099.40x = 172,605,515.96
  5. Step 5: Solve for x
    x = 172,605,515.96/12,099.40
  6. Step 6: Final answer
    x = 14,265.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.