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Finding the Fourth Proportional to 18,831.70, 25,987.74 and 10,448.20

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Solution

The fourth proportional to 18,831.70, 25,987.74 and 10,448.20 is: 14,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,831.70 : 25,987.74 = 10,448.20 : x
  2. Step 2: Convert to fraction form
    18,831.70/25,987.74 = 10,448.20/x
  3. Step 3: Cross multiply
    18,831.70x = 25,987.74 × 10,448.20
  4. Step 4: Simplify right side
    18,831.70x = 271,525,105.07
  5. Step 5: Solve for x
    x = 271,525,105.07/18,831.70
  6. Step 6: Final answer
    x = 14,418.51

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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.