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Finding the Fourth Proportional to 2,697, 4,047.68 and 1,398.84

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Solution

The fourth proportional to 2,697, 4,047.68 and 1,398.84 is: 2,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697 : 4,047.68 = 1,398.84 : x
  2. Step 2: Convert to fraction form
    2,697/4,047.68 = 1,398.84/x
  3. Step 3: Cross multiply
    2,697x = 4,047.68 × 1,398.84
  4. Step 4: Simplify right side
    2,697x = 5,662,056.69
  5. Step 5: Solve for x
    x = 5,662,056.69/2,697
  6. Step 6: Final answer
    x = 2,099.39

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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.