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Finding the Fourth Proportional to 1,661.86, 2,294.35 and 1,477.35

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Solution

The fourth proportional to 1,661.86, 2,294.35 and 1,477.35 is: 2,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.86 : 2,294.35 = 1,477.35 : x
  2. Step 2: Convert to fraction form
    1,661.86/2,294.35 = 1,477.35/x
  3. Step 3: Cross multiply
    1,661.86x = 2,294.35 × 1,477.35
  4. Step 4: Simplify right side
    1,661.86x = 3,389,557.97
  5. Step 5: Solve for x
    x = 3,389,557.97/1,661.86
  6. Step 6: Final answer
    x = 2,039.62

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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.