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Finding the Fourth Proportional to 3,026.77, 4,538.88 and 946.22

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Solution

The fourth proportional to 3,026.77, 4,538.88 and 946.22 is: 1,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.77 : 4,538.88 = 946.22 : x
  2. Step 2: Convert to fraction form
    3,026.77/4,538.88 = 946.22/x
  3. Step 3: Cross multiply
    3,026.77x = 4,538.88 × 946.22
  4. Step 4: Simplify right side
    3,026.77x = 4,294,774.82
  5. Step 5: Solve for x
    x = 4,294,774.82/3,026.77
  6. Step 6: Final answer
    x = 1,418.93

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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.