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Finding the Fourth Proportional to 30,949.71, 42,711.48 and 16,803.48

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Solution

The fourth proportional to 30,949.71, 42,711.48 and 16,803.48 is: 23,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.71 : 42,711.48 = 16,803.48 : x
  2. Step 2: Convert to fraction form
    30,949.71/42,711.48 = 16,803.48/x
  3. Step 3: Cross multiply
    30,949.71x = 42,711.48 × 16,803.48
  4. Step 4: Simplify right side
    30,949.71x = 717,701,499.95
  5. Step 5: Solve for x
    x = 717,701,499.95/30,949.71
  6. Step 6: Final answer
    x = 23,189.28

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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.