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Finding the Fourth Proportional to 1,662.77, 2,494.16 and 1,297.87

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Solution

The fourth proportional to 1,662.77, 2,494.16 and 1,297.87 is: 1,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.77 : 2,494.16 = 1,297.87 : x
  2. Step 2: Convert to fraction form
    1,662.77/2,494.16 = 1,297.87/x
  3. Step 3: Cross multiply
    1,662.77x = 2,494.16 × 1,297.87
  4. Step 4: Simplify right side
    1,662.77x = 3,237,082.71
  5. Step 5: Solve for x
    x = 3,237,082.71/1,662.77
  6. Step 6: Final answer
    x = 1,946.80

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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.