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Finding the Fourth Proportional to 2,271.48, 3,136.50 and 1,574.88

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Solution

The fourth proportional to 2,271.48, 3,136.50 and 1,574.88 is: 2,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.48 : 3,136.50 = 1,574.88 : x
  2. Step 2: Convert to fraction form
    2,271.48/3,136.50 = 1,574.88/x
  3. Step 3: Cross multiply
    2,271.48x = 3,136.50 × 1,574.88
  4. Step 4: Simplify right side
    2,271.48x = 4,939,611.12
  5. Step 5: Solve for x
    x = 4,939,611.12/2,271.48
  6. Step 6: Final answer
    x = 2,174.62

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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.