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Finding the Fourth Proportional to 8,237.94, 12,356.80 and 1,998

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Solution

The fourth proportional to 8,237.94, 12,356.80 and 1,998 is: 2,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.94 : 12,356.80 = 1,998 : x
  2. Step 2: Convert to fraction form
    8,237.94/12,356.80 = 1,998/x
  3. Step 3: Cross multiply
    8,237.94x = 12,356.80 × 1,998
  4. Step 4: Simplify right side
    8,237.94x = 24,688,892.64
  5. Step 5: Solve for x
    x = 24,688,892.64/8,237.94
  6. Step 6: Final answer
    x = 2,996.98

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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.