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Finding the Fourth Proportional to 4,182.96, 5,780.16 and 3,002.16

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Solution

The fourth proportional to 4,182.96, 5,780.16 and 3,002.16 is: 4,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.96 : 5,780.16 = 3,002.16 : x
  2. Step 2: Convert to fraction form
    4,182.96/5,780.16 = 3,002.16/x
  3. Step 3: Cross multiply
    4,182.96x = 5,780.16 × 3,002.16
  4. Step 4: Simplify right side
    4,182.96x = 17,352,965.15
  5. Step 5: Solve for x
    x = 17,352,965.15/4,182.96
  6. Step 6: Final answer
    x = 4,148.49

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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.