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Finding the Fourth Proportional to 11,291.30, 16,947.35 and 5,748.63

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Solution

The fourth proportional to 11,291.30, 16,947.35 and 5,748.63 is: 8,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.30 : 16,947.35 = 5,748.63 : x
  2. Step 2: Convert to fraction form
    11,291.30/16,947.35 = 5,748.63/x
  3. Step 3: Cross multiply
    11,291.30x = 16,947.35 × 5,748.63
  4. Step 4: Simplify right side
    11,291.30x = 97,424,015.89
  5. Step 5: Solve for x
    x = 97,424,015.89/11,291.30
  6. Step 6: Final answer
    x = 8,628.24

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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.