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Finding the Fourth Proportional to 2,011.75, 3,017.73 and 695.50

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Solution

The fourth proportional to 2,011.75, 3,017.73 and 695.50 is: 1,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.75 : 3,017.73 = 695.50 : x
  2. Step 2: Convert to fraction form
    2,011.75/3,017.73 = 695.50/x
  3. Step 3: Cross multiply
    2,011.75x = 3,017.73 × 695.50
  4. Step 4: Simplify right side
    2,011.75x = 2,098,831.22
  5. Step 5: Solve for x
    x = 2,098,831.22/2,011.75
  6. Step 6: Final answer
    x = 1,043.29

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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.