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Finding the Fourth Proportional to 19,684.94, 29,494.54 and 13,831.07

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Solution

The fourth proportional to 19,684.94, 29,494.54 and 13,831.07 is: 20,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.94 : 29,494.54 = 13,831.07 : x
  2. Step 2: Convert to fraction form
    19,684.94/29,494.54 = 13,831.07/x
  3. Step 3: Cross multiply
    19,684.94x = 29,494.54 × 13,831.07
  4. Step 4: Simplify right side
    19,684.94x = 407,940,978.20
  5. Step 5: Solve for x
    x = 407,940,978.20/19,684.94
  6. Step 6: Final answer
    x = 20,723.51

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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.