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Finding the Fourth Proportional to 1,242.51, 1,871.16 and 1,082.13

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Solution

The fourth proportional to 1,242.51, 1,871.16 and 1,082.13 is: 1,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.51 : 1,871.16 = 1,082.13 : x
  2. Step 2: Convert to fraction form
    1,242.51/1,871.16 = 1,082.13/x
  3. Step 3: Cross multiply
    1,242.51x = 1,871.16 × 1,082.13
  4. Step 4: Simplify right side
    1,242.51x = 2,024,838.37
  5. Step 5: Solve for x
    x = 2,024,838.37/1,242.51
  6. Step 6: Final answer
    x = 1,629.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.