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Finding the Fourth Proportional to 14,640.42, 20,203.80 and 7,926.12

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Solution

The fourth proportional to 14,640.42, 20,203.80 and 7,926.12 is: 10,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.42 : 20,203.80 = 7,926.12 : x
  2. Step 2: Convert to fraction form
    14,640.42/20,203.80 = 7,926.12/x
  3. Step 3: Cross multiply
    14,640.42x = 20,203.80 × 7,926.12
  4. Step 4: Simplify right side
    14,640.42x = 160,137,743.26
  5. Step 5: Solve for x
    x = 160,137,743.26/14,640.42
  6. Step 6: Final answer
    x = 10,938.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.