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Finding the Fourth Proportional to 8,989.22, 13,485 and 3,147.50

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Solution

The fourth proportional to 8,989.22, 13,485 and 3,147.50 is: 4,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,989.22 : 13,485 = 3,147.50 : x
  2. Step 2: Convert to fraction form
    8,989.22/13,485 = 3,147.50/x
  3. Step 3: Cross multiply
    8,989.22x = 13,485 × 3,147.50
  4. Step 4: Simplify right side
    8,989.22x = 42,444,037.50
  5. Step 5: Solve for x
    x = 42,444,037.50/8,989.22
  6. Step 6: Final answer
    x = 4,721.66

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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.