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Finding the Fourth Proportional to 8,539, 11,785.98 and 4,815.16

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Solution

The fourth proportional to 8,539, 11,785.98 and 4,815.16 is: 6,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539 : 11,785.98 = 4,815.16 : x
  2. Step 2: Convert to fraction form
    8,539/11,785.98 = 4,815.16/x
  3. Step 3: Cross multiply
    8,539x = 11,785.98 × 4,815.16
  4. Step 4: Simplify right side
    8,539x = 56,751,379.46
  5. Step 5: Solve for x
    x = 56,751,379.46/8,539
  6. Step 6: Final answer
    x = 6,646.14

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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.