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Finding the Fourth Proportional to 13,785.12, 19,023.52 and 7,497.52

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Solution

The fourth proportional to 13,785.12, 19,023.52 and 7,497.52 is: 10,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.12 : 19,023.52 = 7,497.52 : x
  2. Step 2: Convert to fraction form
    13,785.12/19,023.52 = 7,497.52/x
  3. Step 3: Cross multiply
    13,785.12x = 19,023.52 × 7,497.52
  4. Step 4: Simplify right side
    13,785.12x = 142,629,221.67
  5. Step 5: Solve for x
    x = 142,629,221.67/13,785.12
  6. Step 6: Final answer
    x = 10,346.61

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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.