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Finding the Fourth Proportional to 2,397, 3,307.78 and 1,349

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Solution

The fourth proportional to 2,397, 3,307.78 and 1,349 is: 1,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397 : 3,307.78 = 1,349 : x
  2. Step 2: Convert to fraction form
    2,397/3,307.78 = 1,349/x
  3. Step 3: Cross multiply
    2,397x = 3,307.78 × 1,349
  4. Step 4: Simplify right side
    2,397x = 4,462,195.22
  5. Step 5: Solve for x
    x = 4,462,195.22/2,397
  6. Step 6: Final answer
    x = 1,861.57

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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.