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Finding the Fourth Proportional to 13,049.12, 19,548.48 and 7,788.33

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Solution

The fourth proportional to 13,049.12, 19,548.48 and 7,788.33 is: 11,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.12 : 19,548.48 = 7,788.33 : x
  2. Step 2: Convert to fraction form
    13,049.12/19,548.48 = 7,788.33/x
  3. Step 3: Cross multiply
    13,049.12x = 19,548.48 × 7,788.33
  4. Step 4: Simplify right side
    13,049.12x = 152,249,983.84
  5. Step 5: Solve for x
    x = 152,249,983.84/13,049.12
  6. Step 6: Final answer
    x = 11,667.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.