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Finding the Fourth Proportional to 13,385.69, 20,078.69 and 6,366.41

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Solution

The fourth proportional to 13,385.69, 20,078.69 and 6,366.41 is: 9,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.69 : 20,078.69 = 6,366.41 : x
  2. Step 2: Convert to fraction form
    13,385.69/20,078.69 = 6,366.41/x
  3. Step 3: Cross multiply
    13,385.69x = 20,078.69 × 6,366.41
  4. Step 4: Simplify right side
    13,385.69x = 127,829,172.80
  5. Step 5: Solve for x
    x = 127,829,172.80/13,385.69
  6. Step 6: Final answer
    x = 9,549.69

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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.