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Finding the Fourth Proportional to 13,643.56, 20,476.28 and 7,071.63

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Solution

The fourth proportional to 13,643.56, 20,476.28 and 7,071.63 is: 10,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.56 : 20,476.28 = 7,071.63 : x
  2. Step 2: Convert to fraction form
    13,643.56/20,476.28 = 7,071.63/x
  3. Step 3: Cross multiply
    13,643.56x = 20,476.28 × 7,071.63
  4. Step 4: Simplify right side
    13,643.56x = 144,800,675.94
  5. Step 5: Solve for x
    x = 144,800,675.94/13,643.56
  6. Step 6: Final answer
    x = 10,613.12

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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.