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Finding the Fourth Proportional to 8,928, 12,320.64 and 5,202.72

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Solution

The fourth proportional to 8,928, 12,320.64 and 5,202.72 is: 7,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928 : 12,320.64 = 5,202.72 : x
  2. Step 2: Convert to fraction form
    8,928/12,320.64 = 5,202.72/x
  3. Step 3: Cross multiply
    8,928x = 12,320.64 × 5,202.72
  4. Step 4: Simplify right side
    8,928x = 64,100,840.14
  5. Step 5: Solve for x
    x = 64,100,840.14/8,928
  6. Step 6: Final answer
    x = 7,179.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.