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Finding the Fourth Proportional to 1,831.84, 2,745.78 and 906.04

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Solution

The fourth proportional to 1,831.84, 2,745.78 and 906.04 is: 1,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.84 : 2,745.78 = 906.04 : x
  2. Step 2: Convert to fraction form
    1,831.84/2,745.78 = 906.04/x
  3. Step 3: Cross multiply
    1,831.84x = 2,745.78 × 906.04
  4. Step 4: Simplify right side
    1,831.84x = 2,487,786.51
  5. Step 5: Solve for x
    x = 2,487,786.51/1,831.84
  6. Step 6: Final answer
    x = 1,358.08

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1.5x scale

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.