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Finding the Fourth Proportional to 8,388.32, 12,582.57 and 5,094.86

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Solution

The fourth proportional to 8,388.32, 12,582.57 and 5,094.86 is: 7,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.32 : 12,582.57 = 5,094.86 : x
  2. Step 2: Convert to fraction form
    8,388.32/12,582.57 = 5,094.86/x
  3. Step 3: Cross multiply
    8,388.32x = 12,582.57 × 5,094.86
  4. Step 4: Simplify right side
    8,388.32x = 64,106,369.68
  5. Step 5: Solve for x
    x = 64,106,369.68/8,388.32
  6. Step 6: Final answer
    x = 7,642.34

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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.