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Finding the Fourth Proportional to 8,975.10, 13,463.05 and 3,431.10

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Solution

The fourth proportional to 8,975.10, 13,463.05 and 3,431.10 is: 5,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.10 : 13,463.05 = 3,431.10 : x
  2. Step 2: Convert to fraction form
    8,975.10/13,463.05 = 3,431.10/x
  3. Step 3: Cross multiply
    8,975.10x = 13,463.05 × 3,431.10
  4. Step 4: Simplify right side
    8,975.10x = 46,193,070.86
  5. Step 5: Solve for x
    x = 46,193,070.86/8,975.10
  6. Step 6: Final answer
    x = 5,146.80

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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.