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Finding the Fourth Proportional to 12,289.26, 18,435.10 and 4,892

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Solution

The fourth proportional to 12,289.26, 18,435.10 and 4,892 is: 7,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.26 : 18,435.10 = 4,892 : x
  2. Step 2: Convert to fraction form
    12,289.26/18,435.10 = 4,892/x
  3. Step 3: Cross multiply
    12,289.26x = 18,435.10 × 4,892
  4. Step 4: Simplify right side
    12,289.26x = 90,184,509.20
  5. Step 5: Solve for x
    x = 90,184,509.20/12,289.26
  6. Step 6: Final answer
    x = 7,338.48

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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.