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Finding the Fourth Proportional to 19,297.40, 28,946.10 and 9,455.90

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Solution

The fourth proportional to 19,297.40, 28,946.10 and 9,455.90 is: 14,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.40 : 28,946.10 = 9,455.90 : x
  2. Step 2: Convert to fraction form
    19,297.40/28,946.10 = 9,455.90/x
  3. Step 3: Cross multiply
    19,297.40x = 28,946.10 × 9,455.90
  4. Step 4: Simplify right side
    19,297.40x = 273,711,426.99
  5. Step 5: Solve for x
    x = 273,711,426.99/19,297.40
  6. Step 6: Final answer
    x = 14,183.85

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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.