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Finding the Fourth Proportional to 7,152.76, 10,731.21 and 2,990.62

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Solution

The fourth proportional to 7,152.76, 10,731.21 and 2,990.62 is: 4,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.76 : 10,731.21 = 2,990.62 : x
  2. Step 2: Convert to fraction form
    7,152.76/10,731.21 = 2,990.62/x
  3. Step 3: Cross multiply
    7,152.76x = 10,731.21 × 2,990.62
  4. Step 4: Simplify right side
    7,152.76x = 32,092,971.25
  5. Step 5: Solve for x
    x = 32,092,971.25/7,152.76
  6. Step 6: Final answer
    x = 4,486.80

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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.