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Finding the Fourth Proportional to 30,901.50, 42,644.07 and 16,754.34

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Solution

The fourth proportional to 30,901.50, 42,644.07 and 16,754.34 is: 23,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.50 : 42,644.07 = 16,754.34 : x
  2. Step 2: Convert to fraction form
    30,901.50/42,644.07 = 16,754.34/x
  3. Step 3: Cross multiply
    30,901.50x = 42,644.07 × 16,754.34
  4. Step 4: Simplify right side
    30,901.50x = 714,473,407.68
  5. Step 5: Solve for x
    x = 714,473,407.68/30,901.50
  6. Step 6: Final answer
    x = 23,120.99

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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.