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Finding the Fourth Proportional to 2,112.04, 2,914.20 and 1,327.20

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Solution

The fourth proportional to 2,112.04, 2,914.20 and 1,327.20 is: 1,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.04 : 2,914.20 = 1,327.20 : x
  2. Step 2: Convert to fraction form
    2,112.04/2,914.20 = 1,327.20/x
  3. Step 3: Cross multiply
    2,112.04x = 2,914.20 × 1,327.20
  4. Step 4: Simplify right side
    2,112.04x = 3,867,726.24
  5. Step 5: Solve for x
    x = 3,867,726.24/2,112.04
  6. Step 6: Final answer
    x = 1,831.28

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1.5x scale

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.