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Finding the Fourth Proportional to 8,192.32, 12,258.24 and 4,907.68

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Solution

The fourth proportional to 8,192.32, 12,258.24 and 4,907.68 is: 7,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.32 : 12,258.24 = 4,907.68 : x
  2. Step 2: Convert to fraction form
    8,192.32/12,258.24 = 4,907.68/x
  3. Step 3: Cross multiply
    8,192.32x = 12,258.24 × 4,907.68
  4. Step 4: Simplify right side
    8,192.32x = 60,159,519.28
  5. Step 5: Solve for x
    x = 60,159,519.28/8,192.32
  6. Step 6: Final answer
    x = 7,343.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.