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Finding the Fourth Proportional to 13,785.28, 19,023.84 and 7,497.66

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Solution

The fourth proportional to 13,785.28, 19,023.84 and 7,497.66 is: 10,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.28 : 19,023.84 = 7,497.66 : x
  2. Step 2: Convert to fraction form
    13,785.28/19,023.84 = 7,497.66/x
  3. Step 3: Cross multiply
    13,785.28x = 19,023.84 × 7,497.66
  4. Step 4: Simplify right side
    13,785.28x = 142,634,212.88
  5. Step 5: Solve for x
    x = 142,634,212.88/13,785.28
  6. Step 6: Final answer
    x = 10,346.85

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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.