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Finding the Fourth Proportional to 8,720.96, 12,030 and 5,185.31

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Solution

The fourth proportional to 8,720.96, 12,030 and 5,185.31 is: 7,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.96 : 12,030 = 5,185.31 : x
  2. Step 2: Convert to fraction form
    8,720.96/12,030 = 5,185.31/x
  3. Step 3: Cross multiply
    8,720.96x = 12,030 × 5,185.31
  4. Step 4: Simplify right side
    8,720.96x = 62,379,279.30
  5. Step 5: Solve for x
    x = 62,379,279.30/8,720.96
  6. Step 6: Final answer
    x = 7,152.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.