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Finding the Fourth Proportional to 14,770.68, 20,393.14 and 11,407.56

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Solution

The fourth proportional to 14,770.68, 20,393.14 and 11,407.56 is: 15,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.68 : 20,393.14 = 11,407.56 : x
  2. Step 2: Convert to fraction form
    14,770.68/20,393.14 = 11,407.56/x
  3. Step 3: Cross multiply
    14,770.68x = 20,393.14 × 11,407.56
  4. Step 4: Simplify right side
    14,770.68x = 232,635,968.14
  5. Step 5: Solve for x
    x = 232,635,968.14/14,770.68
  6. Step 6: Final answer
    x = 15,749.85

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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.