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Finding the Fourth Proportional to 2,484.82, 3,430.13 and 1,601.78

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Solution

The fourth proportional to 2,484.82, 3,430.13 and 1,601.78 is: 2,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.82 : 3,430.13 = 1,601.78 : x
  2. Step 2: Convert to fraction form
    2,484.82/3,430.13 = 1,601.78/x
  3. Step 3: Cross multiply
    2,484.82x = 3,430.13 × 1,601.78
  4. Step 4: Simplify right side
    2,484.82x = 5,494,313.63
  5. Step 5: Solve for x
    x = 5,494,313.63/2,484.82
  6. Step 6: Final answer
    x = 2,211.15

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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.