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Finding the Fourth Proportional to 8,984.47, 13,477.64 and 3,442.50

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Solution

The fourth proportional to 8,984.47, 13,477.64 and 3,442.50 is: 5,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.47 : 13,477.64 = 3,442.50 : x
  2. Step 2: Convert to fraction form
    8,984.47/13,477.64 = 3,442.50/x
  3. Step 3: Cross multiply
    8,984.47x = 13,477.64 × 3,442.50
  4. Step 4: Simplify right side
    8,984.47x = 46,396,777.85
  5. Step 5: Solve for x
    x = 46,396,777.85/8,984.47
  6. Step 6: Final answer
    x = 5,164.11

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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.