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Finding the Fourth Proportional to 8,670.23, 13,013.09 and 4,975.11

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Solution

The fourth proportional to 8,670.23, 13,013.09 and 4,975.11 is: 7,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.23 : 13,013.09 = 4,975.11 : x
  2. Step 2: Convert to fraction form
    8,670.23/13,013.09 = 4,975.11/x
  3. Step 3: Cross multiply
    8,670.23x = 13,013.09 × 4,975.11
  4. Step 4: Simplify right side
    8,670.23x = 64,741,529.31
  5. Step 5: Solve for x
    x = 64,741,529.31/8,670.23
  6. Step 6: Final answer
    x = 7,467.11

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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.