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Finding the Fourth Proportional to 11,748.48, 16,203.84 and 7,026.72

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Solution

The fourth proportional to 11,748.48, 16,203.84 and 7,026.72 is: 9,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.48 : 16,203.84 = 7,026.72 : x
  2. Step 2: Convert to fraction form
    11,748.48/16,203.84 = 7,026.72/x
  3. Step 3: Cross multiply
    11,748.48x = 16,203.84 × 7,026.72
  4. Step 4: Simplify right side
    11,748.48x = 113,859,846.60
  5. Step 5: Solve for x
    x = 113,859,846.60/11,748.48
  6. Step 6: Final answer
    x = 9,691.45

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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.