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Finding the Fourth Proportional to 2,599.47, 3,897.80 and 1,136.91

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Solution

The fourth proportional to 2,599.47, 3,897.80 and 1,136.91 is: 1,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.47 : 3,897.80 = 1,136.91 : x
  2. Step 2: Convert to fraction form
    2,599.47/3,897.80 = 1,136.91/x
  3. Step 3: Cross multiply
    2,599.47x = 3,897.80 × 1,136.91
  4. Step 4: Simplify right side
    2,599.47x = 4,431,442.11
  5. Step 5: Solve for x
    x = 4,431,442.11/2,599.47
  6. Step 6: Final answer
    x = 1,704.75

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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.