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Finding the Fourth Proportional to 8,678.64, 12,992.36 and 5,381.12

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Solution

The fourth proportional to 8,678.64, 12,992.36 and 5,381.12 is: 8,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.64 : 12,992.36 = 5,381.12 : x
  2. Step 2: Convert to fraction form
    8,678.64/12,992.36 = 5,381.12/x
  3. Step 3: Cross multiply
    8,678.64x = 12,992.36 × 5,381.12
  4. Step 4: Simplify right side
    8,678.64x = 69,913,448.24
  5. Step 5: Solve for x
    x = 69,913,448.24/8,678.64
  6. Step 6: Final answer
    x = 8,055.81

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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.