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Finding the Fourth Proportional to 11,758.13, 16,228.73 and 7,045.15

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Solution

The fourth proportional to 11,758.13, 16,228.73 and 7,045.15 is: 9,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.13 : 16,228.73 = 7,045.15 : x
  2. Step 2: Convert to fraction form
    11,758.13/16,228.73 = 7,045.15/x
  3. Step 3: Cross multiply
    11,758.13x = 16,228.73 × 7,045.15
  4. Step 4: Simplify right side
    11,758.13x = 114,333,720.79
  5. Step 5: Solve for x
    x = 114,333,720.79/11,758.13
  6. Step 6: Final answer
    x = 9,723.80

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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.