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Finding the Fourth Proportional to 1,605.86, 2,406.62 and 1,415.78

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Solution

The fourth proportional to 1,605.86, 2,406.62 and 1,415.78 is: 2,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.86 : 2,406.62 = 1,415.78 : x
  2. Step 2: Convert to fraction form
    1,605.86/2,406.62 = 1,415.78/x
  3. Step 3: Cross multiply
    1,605.86x = 2,406.62 × 1,415.78
  4. Step 4: Simplify right side
    1,605.86x = 3,407,244.46
  5. Step 5: Solve for x
    x = 3,407,244.46/1,605.86
  6. Step 6: Final answer
    x = 2,121.76

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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.