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Finding the Fourth Proportional to 8,954.64, 13,438.04 and 5,664.42

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Solution

The fourth proportional to 8,954.64, 13,438.04 and 5,664.42 is: 8,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.64 : 13,438.04 = 5,664.42 : x
  2. Step 2: Convert to fraction form
    8,954.64/13,438.04 = 5,664.42/x
  3. Step 3: Cross multiply
    8,954.64x = 13,438.04 × 5,664.42
  4. Step 4: Simplify right side
    8,954.64x = 76,118,674.21
  5. Step 5: Solve for x
    x = 76,118,674.21/8,954.64
  6. Step 6: Final answer
    x = 8,500.47

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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.