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Finding the Fourth Proportional to 2,598.78, 3,898.08 and 1,137.81

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Solution

The fourth proportional to 2,598.78, 3,898.08 and 1,137.81 is: 1,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.78 : 3,898.08 = 1,137.81 : x
  2. Step 2: Convert to fraction form
    2,598.78/3,898.08 = 1,137.81/x
  3. Step 3: Cross multiply
    2,598.78x = 3,898.08 × 1,137.81
  4. Step 4: Simplify right side
    2,598.78x = 4,435,274.40
  5. Step 5: Solve for x
    x = 4,435,274.40/2,598.78
  6. Step 6: Final answer
    x = 1,706.68

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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.