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Finding the Fourth Proportional to 15,770.23, 21,761.93 and 9,051.13

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Solution

The fourth proportional to 15,770.23, 21,761.93 and 9,051.13 is: 12,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.23 : 21,761.93 = 9,051.13 : x
  2. Step 2: Convert to fraction form
    15,770.23/21,761.93 = 9,051.13/x
  3. Step 3: Cross multiply
    15,770.23x = 21,761.93 × 9,051.13
  4. Step 4: Simplify right side
    15,770.23x = 196,969,903.42
  5. Step 5: Solve for x
    x = 196,969,903.42/15,770.23
  6. Step 6: Final answer
    x = 12,489.99

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