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Finding the Fourth Proportional to 1,670.12, 2,494.94 and 1,203.92

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Solution

The fourth proportional to 1,670.12, 2,494.94 and 1,203.92 is: 1,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.12 : 2,494.94 = 1,203.92 : x
  2. Step 2: Convert to fraction form
    1,670.12/2,494.94 = 1,203.92/x
  3. Step 3: Cross multiply
    1,670.12x = 2,494.94 × 1,203.92
  4. Step 4: Simplify right side
    1,670.12x = 3,003,708.16
  5. Step 5: Solve for x
    x = 3,003,708.16/1,670.12
  6. Step 6: Final answer
    x = 1,798.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.