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Finding the Fourth Proportional to 15,770.96, 21,765 and 9,146.96

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Solution

The fourth proportional to 15,770.96, 21,765 and 9,146.96 is: 12,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.96 : 21,765 = 9,146.96 : x
  2. Step 2: Convert to fraction form
    15,770.96/21,765 = 9,146.96/x
  3. Step 3: Cross multiply
    15,770.96x = 21,765 × 9,146.96
  4. Step 4: Simplify right side
    15,770.96x = 199,083,584.40
  5. Step 5: Solve for x
    x = 199,083,584.40/15,770.96
  6. Step 6: Final answer
    x = 12,623.43

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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.