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Finding the Fourth Proportional to 8,577.42, 12,873.42 and 3,386.94

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Solution

The fourth proportional to 8,577.42, 12,873.42 and 3,386.94 is: 5,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.42 : 12,873.42 = 3,386.94 : x
  2. Step 2: Convert to fraction form
    8,577.42/12,873.42 = 3,386.94/x
  3. Step 3: Cross multiply
    8,577.42x = 12,873.42 × 3,386.94
  4. Step 4: Simplify right side
    8,577.42x = 43,601,501.13
  5. Step 5: Solve for x
    x = 43,601,501.13/8,577.42
  6. Step 6: Final answer
    x = 5,083.29

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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.