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Finding the Fourth Proportional to 5,824.98, 8,038.40 and 3,172.40

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Solution

The fourth proportional to 5,824.98, 8,038.40 and 3,172.40 is: 4,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.98 : 8,038.40 = 3,172.40 : x
  2. Step 2: Convert to fraction form
    5,824.98/8,038.40 = 3,172.40/x
  3. Step 3: Cross multiply
    5,824.98x = 8,038.40 × 3,172.40
  4. Step 4: Simplify right side
    5,824.98x = 25,500,964.11
  5. Step 5: Solve for x
    x = 25,500,964.11/5,824.98
  6. Step 6: Final answer
    x = 4,377.86

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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.