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Finding the Fourth Proportional to 8,991, 13,491.36 and 4,374

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Solution

The fourth proportional to 8,991, 13,491.36 and 4,374 is: 6,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991 : 13,491.36 = 4,374 : x
  2. Step 2: Convert to fraction form
    8,991/13,491.36 = 4,374/x
  3. Step 3: Cross multiply
    8,991x = 13,491.36 × 4,374
  4. Step 4: Simplify right side
    8,991x = 59,011,208.64
  5. Step 5: Solve for x
    x = 59,011,208.64/8,991
  6. Step 6: Final answer
    x = 6,563.36

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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.