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Finding the Fourth Proportional to 30,984.84, 42,737.46 and 20,371.08

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Solution

The fourth proportional to 30,984.84, 42,737.46 and 20,371.08 is: 28,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984.84 : 42,737.46 = 20,371.08 : x
  2. Step 2: Convert to fraction form
    30,984.84/42,737.46 = 20,371.08/x
  3. Step 3: Cross multiply
    30,984.84x = 42,737.46 × 20,371.08
  4. Step 4: Simplify right side
    30,984.84x = 870,608,216.66
  5. Step 5: Solve for x
    x = 870,608,216.66/30,984.84
  6. Step 6: Final answer
    x = 28,097.88

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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.