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Finding the Fourth Proportional to 4,663.83, 6,441.55 and 3,089.19

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Solution

The fourth proportional to 4,663.83, 6,441.55 and 3,089.19 is: 4,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.83 : 6,441.55 = 3,089.19 : x
  2. Step 2: Convert to fraction form
    4,663.83/6,441.55 = 3,089.19/x
  3. Step 3: Cross multiply
    4,663.83x = 6,441.55 × 3,089.19
  4. Step 4: Simplify right side
    4,663.83x = 19,899,160.73
  5. Step 5: Solve for x
    x = 19,899,160.73/4,663.83
  6. Step 6: Final answer
    x = 4,266.70

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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.