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Finding the Fourth Proportional to 2,605, 3,908.13 and 1,066

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Solution

The fourth proportional to 2,605, 3,908.13 and 1,066 is: 1,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605 : 3,908.13 = 1,066 : x
  2. Step 2: Convert to fraction form
    2,605/3,908.13 = 1,066/x
  3. Step 3: Cross multiply
    2,605x = 3,908.13 × 1,066
  4. Step 4: Simplify right side
    2,605x = 4,166,066.58
  5. Step 5: Solve for x
    x = 4,166,066.58/2,605
  6. Step 6: Final answer
    x = 1,599.26

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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.