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Finding the Fourth Proportional to 2,605.84, 3,908.74 and 1,065.76

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Solution

The fourth proportional to 2,605.84, 3,908.74 and 1,065.76 is: 1,598.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.84 : 3,908.74 = 1,065.76 : x
  2. Step 2: Convert to fraction form
    2,605.84/3,908.74 = 1,065.76/x
  3. Step 3: Cross multiply
    2,605.84x = 3,908.74 × 1,065.76
  4. Step 4: Simplify right side
    2,605.84x = 4,165,778.74
  5. Step 5: Solve for x
    x = 4,165,778.74/2,605.84
  6. Step 6: Final answer
    x = 1,598.63

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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.