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Finding the Fourth Proportional to 30,942, 42,699.96 and 16,794.95

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Solution

The fourth proportional to 30,942, 42,699.96 and 16,794.95 is: 23,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942 : 42,699.96 = 16,794.95 : x
  2. Step 2: Convert to fraction form
    30,942/42,699.96 = 16,794.95/x
  3. Step 3: Cross multiply
    30,942x = 42,699.96 × 16,794.95
  4. Step 4: Simplify right side
    30,942x = 717,143,479.70
  5. Step 5: Solve for x
    x = 717,143,479.70/30,942
  6. Step 6: Final answer
    x = 23,177.02

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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.