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Finding the Fourth Proportional to 2,852.95, 3,934.85 and 1,831.00

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Solution

The fourth proportional to 2,852.95, 3,934.85 and 1,831.00 is: 2,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.95 : 3,934.85 = 1,831.00 : x
  2. Step 2: Convert to fraction form
    2,852.95/3,934.85 = 1,831.00/x
  3. Step 3: Cross multiply
    2,852.95x = 3,934.85 × 1,831.00
  4. Step 4: Simplify right side
    2,852.95x = 7,204,698.74
  5. Step 5: Solve for x
    x = 7,204,698.74/2,852.95
  6. Step 6: Final answer
    x = 2,525.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.