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Finding the Fourth Proportional to 7,174.30, 10,762.08 and 1,980.18

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Solution

The fourth proportional to 7,174.30, 10,762.08 and 1,980.18 is: 2,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.30 : 10,762.08 = 1,980.18 : x
  2. Step 2: Convert to fraction form
    7,174.30/10,762.08 = 1,980.18/x
  3. Step 3: Cross multiply
    7,174.30x = 10,762.08 × 1,980.18
  4. Step 4: Simplify right side
    7,174.30x = 21,310,855.57
  5. Step 5: Solve for x
    x = 21,310,855.57/7,174.30
  6. Step 6: Final answer
    x = 2,970.44

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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.