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Finding the Fourth Proportional to 1,670.64, 2,508.81 and 1,392.71

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Solution

The fourth proportional to 1,670.64, 2,508.81 and 1,392.71 is: 2,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.64 : 2,508.81 = 1,392.71 : x
  2. Step 2: Convert to fraction form
    1,670.64/2,508.81 = 1,392.71/x
  3. Step 3: Cross multiply
    1,670.64x = 2,508.81 × 1,392.71
  4. Step 4: Simplify right side
    1,670.64x = 3,494,044.78
  5. Step 5: Solve for x
    x = 3,494,044.78/1,670.64
  6. Step 6: Final answer
    x = 2,091.44

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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.