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Finding the Fourth Proportional to 12,273.61, 18,411.02 and 3,509.82

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Solution

The fourth proportional to 12,273.61, 18,411.02 and 3,509.82 is: 5,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273.61 : 18,411.02 = 3,509.82 : x
  2. Step 2: Convert to fraction form
    12,273.61/18,411.02 = 3,509.82/x
  3. Step 3: Cross multiply
    12,273.61x = 18,411.02 × 3,509.82
  4. Step 4: Simplify right side
    12,273.61x = 64,619,366.22
  5. Step 5: Solve for x
    x = 64,619,366.22/12,273.61
  6. Step 6: Final answer
    x = 5,264.90

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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.