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Finding the Fourth Proportional to 30,869, 42,599.40 and 16,721.86

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Solution

The fourth proportional to 30,869, 42,599.40 and 16,721.86 is: 23,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869 : 42,599.40 = 16,721.86 : x
  2. Step 2: Convert to fraction form
    30,869/42,599.40 = 16,721.86/x
  3. Step 3: Cross multiply
    30,869x = 42,599.40 × 16,721.86
  4. Step 4: Simplify right side
    30,869x = 712,341,202.88
  5. Step 5: Solve for x
    x = 712,341,202.88/30,869
  6. Step 6: Final answer
    x = 23,076.26

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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.