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Finding the Fourth Proportional to 8,670.93, 13,006.17 and 2,431.38

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Solution

The fourth proportional to 8,670.93, 13,006.17 and 2,431.38 is: 3,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.93 : 13,006.17 = 2,431.38 : x
  2. Step 2: Convert to fraction form
    8,670.93/13,006.17 = 2,431.38/x
  3. Step 3: Cross multiply
    8,670.93x = 13,006.17 × 2,431.38
  4. Step 4: Simplify right side
    8,670.93x = 31,622,880.65
  5. Step 5: Solve for x
    x = 31,622,880.65/8,670.93
  6. Step 6: Final answer
    x = 3,647.00

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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.