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Finding the Fourth Proportional to 30,946.96, 42,707.70 and 16,800.70

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Solution

The fourth proportional to 30,946.96, 42,707.70 and 16,800.70 is: 23,185.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.96 : 42,707.70 = 16,800.70 : x
  2. Step 2: Convert to fraction form
    30,946.96/42,707.70 = 16,800.70/x
  3. Step 3: Cross multiply
    30,946.96x = 42,707.70 × 16,800.70
  4. Step 4: Simplify right side
    30,946.96x = 717,519,255.39
  5. Step 5: Solve for x
    x = 717,519,255.39/30,946.96
  6. Step 6: Final answer
    x = 23,185.45

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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.