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Finding the Fourth Proportional to 20,070, 30,106.71 and 6,219

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Solution

The fourth proportional to 20,070, 30,106.71 and 6,219 is: 9,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070 : 30,106.71 = 6,219 : x
  2. Step 2: Convert to fraction form
    20,070/30,106.71 = 6,219/x
  3. Step 3: Cross multiply
    20,070x = 30,106.71 × 6,219
  4. Step 4: Simplify right side
    20,070x = 187,233,629.49
  5. Step 5: Solve for x
    x = 187,233,629.49/20,070
  6. Step 6: Final answer
    x = 9,329.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.