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Finding the Fourth Proportional to 1,606.37, 2,216.84 and 1,047.20

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Solution

The fourth proportional to 1,606.37, 2,216.84 and 1,047.20 is: 1,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.37 : 2,216.84 = 1,047.20 : x
  2. Step 2: Convert to fraction form
    1,606.37/2,216.84 = 1,047.20/x
  3. Step 3: Cross multiply
    1,606.37x = 2,216.84 × 1,047.20
  4. Step 4: Simplify right side
    1,606.37x = 2,321,458.53
  5. Step 5: Solve for x
    x = 2,321,458.53/1,606.37
  6. Step 6: Final answer
    x = 1,445.16

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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.