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Finding the Fourth Proportional to 2,409.81, 3,612.49 and 848.96

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Solution

The fourth proportional to 2,409.81, 3,612.49 and 848.96 is: 1,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.81 : 3,612.49 = 848.96 : x
  2. Step 2: Convert to fraction form
    2,409.81/3,612.49 = 848.96/x
  3. Step 3: Cross multiply
    2,409.81x = 3,612.49 × 848.96
  4. Step 4: Simplify right side
    2,409.81x = 3,066,859.51
  5. Step 5: Solve for x
    x = 3,066,859.51/2,409.81
  6. Step 6: Final answer
    x = 1,272.66

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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.