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Finding the Fourth Proportional to 8,477.62, 12,714 and 2,555.08

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Solution

The fourth proportional to 8,477.62, 12,714 and 2,555.08 is: 3,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.62 : 12,714 = 2,555.08 : x
  2. Step 2: Convert to fraction form
    8,477.62/12,714 = 2,555.08/x
  3. Step 3: Cross multiply
    8,477.62x = 12,714 × 2,555.08
  4. Step 4: Simplify right side
    8,477.62x = 32,485,287.12
  5. Step 5: Solve for x
    x = 32,485,287.12/8,477.62
  6. Step 6: Final answer
    x = 3,831.89

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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.