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Finding the Fourth Proportional to 8,594.36, 12,891 and 5,129

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Solution

The fourth proportional to 8,594.36, 12,891 and 5,129 is: 7,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.36 : 12,891 = 5,129 : x
  2. Step 2: Convert to fraction form
    8,594.36/12,891 = 5,129/x
  3. Step 3: Cross multiply
    8,594.36x = 12,891 × 5,129
  4. Step 4: Simplify right side
    8,594.36x = 66,117,939
  5. Step 5: Solve for x
    x = 66,117,939/8,594.36
  6. Step 6: Final answer
    x = 7,693.18

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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.