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Finding the Fourth Proportional to 3,111.40, 4,663.98 and 1,549

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Solution

The fourth proportional to 3,111.40, 4,663.98 and 1,549 is: 2,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.40 : 4,663.98 = 1,549 : x
  2. Step 2: Convert to fraction form
    3,111.40/4,663.98 = 1,549/x
  3. Step 3: Cross multiply
    3,111.40x = 4,663.98 × 1,549
  4. Step 4: Simplify right side
    3,111.40x = 7,224,505.02
  5. Step 5: Solve for x
    x = 7,224,505.02/3,111.40
  6. Step 6: Final answer
    x = 2,321.95

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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.