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Finding the Fourth Proportional to 19,509.20, 29,230.20 and 9,099.60

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Solution

The fourth proportional to 19,509.20, 29,230.20 and 9,099.60 is: 13,633.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.20 : 29,230.20 = 9,099.60 : x
  2. Step 2: Convert to fraction form
    19,509.20/29,230.20 = 9,099.60/x
  3. Step 3: Cross multiply
    19,509.20x = 29,230.20 × 9,099.60
  4. Step 4: Simplify right side
    19,509.20x = 265,983,127.92
  5. Step 5: Solve for x
    x = 265,983,127.92/19,509.20
  6. Step 6: Final answer
    x = 13,633.73

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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.