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Finding the Fourth Proportional to 13,630.94, 20,431.02 and 6,948.67

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Solution

The fourth proportional to 13,630.94, 20,431.02 and 6,948.67 is: 10,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.94 : 20,431.02 = 6,948.67 : x
  2. Step 2: Convert to fraction form
    13,630.94/20,431.02 = 6,948.67/x
  3. Step 3: Cross multiply
    13,630.94x = 20,431.02 × 6,948.67
  4. Step 4: Simplify right side
    13,630.94x = 141,968,415.74
  5. Step 5: Solve for x
    x = 141,968,415.74/13,630.94
  6. Step 6: Final answer
    x = 10,415.16

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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.