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Finding the Fourth Proportional to 12,609.44, 18,913.08 and 5,209.28

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Solution

The fourth proportional to 12,609.44, 18,913.08 and 5,209.28 is: 7,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.44 : 18,913.08 = 5,209.28 : x
  2. Step 2: Convert to fraction form
    12,609.44/18,913.08 = 5,209.28/x
  3. Step 3: Cross multiply
    12,609.44x = 18,913.08 × 5,209.28
  4. Step 4: Simplify right side
    12,609.44x = 98,523,529.38
  5. Step 5: Solve for x
    x = 98,523,529.38/12,609.44
  6. Step 6: Final answer
    x = 7,813.47

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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.