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Finding the Fourth Proportional to 2,731, 4,097.04 and 999.76

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Solution

The fourth proportional to 2,731, 4,097.04 and 999.76 is: 1,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731 : 4,097.04 = 999.76 : x
  2. Step 2: Convert to fraction form
    2,731/4,097.04 = 999.76/x
  3. Step 3: Cross multiply
    2,731x = 4,097.04 × 999.76
  4. Step 4: Simplify right side
    2,731x = 4,096,056.71
  5. Step 5: Solve for x
    x = 4,096,056.71/2,731
  6. Step 6: Final answer
    x = 1,499.84

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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.