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Finding the Fourth Proportional to 12,437, 18,661.98 and 5,509.88

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Solution

The fourth proportional to 12,437, 18,661.98 and 5,509.88 is: 8,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437 : 18,661.98 = 5,509.88 : x
  2. Step 2: Convert to fraction form
    12,437/18,661.98 = 5,509.88/x
  3. Step 3: Cross multiply
    12,437x = 18,661.98 × 5,509.88
  4. Step 4: Simplify right side
    12,437x = 102,825,270.36
  5. Step 5: Solve for x
    x = 102,825,270.36/12,437
  6. Step 6: Final answer
    x = 8,267.69

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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.