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Finding the Fourth Proportional to 2,681.52, 3,700.50 and 1,563.22

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Solution

The fourth proportional to 2,681.52, 3,700.50 and 1,563.22 is: 2,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.52 : 3,700.50 = 1,563.22 : x
  2. Step 2: Convert to fraction form
    2,681.52/3,700.50 = 1,563.22/x
  3. Step 3: Cross multiply
    2,681.52x = 3,700.50 × 1,563.22
  4. Step 4: Simplify right side
    2,681.52x = 5,784,706.10
  5. Step 5: Solve for x
    x = 5,784,706.10/2,681.52
  6. Step 6: Final answer
    x = 2,157.25

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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.