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Finding the Fourth Proportional to 4,534.52, 6,805.40 and 3,083.80

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Solution

The fourth proportional to 4,534.52, 6,805.40 and 3,083.80 is: 4,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.52 : 6,805.40 = 3,083.80 : x
  2. Step 2: Convert to fraction form
    4,534.52/6,805.40 = 3,083.80/x
  3. Step 3: Cross multiply
    4,534.52x = 6,805.40 × 3,083.80
  4. Step 4: Simplify right side
    4,534.52x = 20,986,492.52
  5. Step 5: Solve for x
    x = 20,986,492.52/4,534.52
  6. Step 6: Final answer
    x = 4,628.16

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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.