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Finding the Fourth Proportional to 1,661.42, 2,292.36 and 1,071.74

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Solution

The fourth proportional to 1,661.42, 2,292.36 and 1,071.74 is: 1,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.42 : 2,292.36 = 1,071.74 : x
  2. Step 2: Convert to fraction form
    1,661.42/2,292.36 = 1,071.74/x
  3. Step 3: Cross multiply
    1,661.42x = 2,292.36 × 1,071.74
  4. Step 4: Simplify right side
    1,661.42x = 2,456,813.91
  5. Step 5: Solve for x
    x = 2,456,813.91/1,661.42
  6. Step 6: Final answer
    x = 1,478.74

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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.