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Finding the Fourth Proportional to 7,186.80, 10,772.76 and 5,207.58

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Solution

The fourth proportional to 7,186.80, 10,772.76 and 5,207.58 is: 7,805.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.80 : 10,772.76 = 5,207.58 : x
  2. Step 2: Convert to fraction form
    7,186.80/10,772.76 = 5,207.58/x
  3. Step 3: Cross multiply
    7,186.80x = 10,772.76 × 5,207.58
  4. Step 4: Simplify right side
    7,186.80x = 56,100,009.52
  5. Step 5: Solve for x
    x = 56,100,009.52/7,186.80
  6. Step 6: Final answer
    x = 7,805.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.