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Finding the Fourth Proportional to 30,943.71, 42,703.20 and 16,797.47

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Solution

The fourth proportional to 30,943.71, 42,703.20 and 16,797.47 is: 23,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,943.71 : 42,703.20 = 16,797.47 : x
  2. Step 2: Convert to fraction form
    30,943.71/42,703.20 = 16,797.47/x
  3. Step 3: Cross multiply
    30,943.71x = 42,703.20 × 16,797.47
  4. Step 4: Simplify right side
    30,943.71x = 717,305,507.39
  5. Step 5: Solve for x
    x = 717,305,507.39/30,943.71
  6. Step 6: Final answer
    x = 23,180.98

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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.