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Finding the Fourth Proportional to 15,729, 21,706.02 and 9,441.42

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Solution

The fourth proportional to 15,729, 21,706.02 and 9,441.42 is: 13,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729 : 21,706.02 = 9,441.42 : x
  2. Step 2: Convert to fraction form
    15,729/21,706.02 = 9,441.42/x
  3. Step 3: Cross multiply
    15,729x = 21,706.02 × 9,441.42
  4. Step 4: Simplify right side
    15,729x = 204,935,651.35
  5. Step 5: Solve for x
    x = 204,935,651.35/15,729
  6. Step 6: Final answer
    x = 13,029.16

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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.