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Finding the Fourth Proportional to 31,174.99, 46,781.12 and 11,455.54

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Solution

The fourth proportional to 31,174.99, 46,781.12 and 11,455.54 is: 17,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.99 : 46,781.12 = 11,455.54 : x
  2. Step 2: Convert to fraction form
    31,174.99/46,781.12 = 11,455.54/x
  3. Step 3: Cross multiply
    31,174.99x = 46,781.12 × 11,455.54
  4. Step 4: Simplify right side
    31,174.99x = 535,903,094.04
  5. Step 5: Solve for x
    x = 535,903,094.04/31,174.99
  6. Step 6: Final answer
    x = 17,190.16

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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.