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Finding the Fourth Proportional to 3,111.03, 4,666.53 and 919.77

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Solution

The fourth proportional to 3,111.03, 4,666.53 and 919.77 is: 1,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.03 : 4,666.53 = 919.77 : x
  2. Step 2: Convert to fraction form
    3,111.03/4,666.53 = 919.77/x
  3. Step 3: Cross multiply
    3,111.03x = 4,666.53 × 919.77
  4. Step 4: Simplify right side
    3,111.03x = 4,292,134.30
  5. Step 5: Solve for x
    x = 4,292,134.30/3,111.03
  6. Step 6: Final answer
    x = 1,379.65

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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.