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Finding the Fourth Proportional to 1,563.09, 2,157.12 and 864.47

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Solution

The fourth proportional to 1,563.09, 2,157.12 and 864.47 is: 1,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.09 : 2,157.12 = 864.47 : x
  2. Step 2: Convert to fraction form
    1,563.09/2,157.12 = 864.47/x
  3. Step 3: Cross multiply
    1,563.09x = 2,157.12 × 864.47
  4. Step 4: Simplify right side
    1,563.09x = 1,864,754.74
  5. Step 5: Solve for x
    x = 1,864,754.74/1,563.09
  6. Step 6: Final answer
    x = 1,192.99

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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.