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Finding the Fourth Proportional to 20,495.71, 30,747.88 and 6,643.63

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Solution

The fourth proportional to 20,495.71, 30,747.88 and 6,643.63 is: 9,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.71 : 30,747.88 = 6,643.63 : x
  2. Step 2: Convert to fraction form
    20,495.71/30,747.88 = 6,643.63/x
  3. Step 3: Cross multiply
    20,495.71x = 30,747.88 × 6,643.63
  4. Step 4: Simplify right side
    20,495.71x = 204,277,384.27
  5. Step 5: Solve for x
    x = 204,277,384.27/20,495.71
  6. Step 6: Final answer
    x = 9,966.84

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1.5x scale

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.