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Finding the Fourth Proportional to 1,737.42, 2,396.78 and 1,139.64

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Solution

The fourth proportional to 1,737.42, 2,396.78 and 1,139.64 is: 1,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.42 : 2,396.78 = 1,139.64 : x
  2. Step 2: Convert to fraction form
    1,737.42/2,396.78 = 1,139.64/x
  3. Step 3: Cross multiply
    1,737.42x = 2,396.78 × 1,139.64
  4. Step 4: Simplify right side
    1,737.42x = 2,731,466.36
  5. Step 5: Solve for x
    x = 2,731,466.36/1,737.42
  6. Step 6: Final answer
    x = 1,572.14

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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.