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Finding the Fourth Proportional to 30,831.69, 42,548.03 and 16,684.84

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Solution

The fourth proportional to 30,831.69, 42,548.03 and 16,684.84 is: 23,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,831.69 : 42,548.03 = 16,684.84 : x
  2. Step 2: Convert to fraction form
    30,831.69/42,548.03 = 16,684.84/x
  3. Step 3: Cross multiply
    30,831.69x = 42,548.03 × 16,684.84
  4. Step 4: Simplify right side
    30,831.69x = 709,906,901.84
  5. Step 5: Solve for x
    x = 709,906,901.84/30,831.69
  6. Step 6: Final answer
    x = 23,025.24

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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.