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Finding the Fourth Proportional to 1,002.10, 1,383.75 and 838.07

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Solution

The fourth proportional to 1,002.10, 1,383.75 and 838.07 is: 1,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.10 : 1,383.75 = 838.07 : x
  2. Step 2: Convert to fraction form
    1,002.10/1,383.75 = 838.07/x
  3. Step 3: Cross multiply
    1,002.10x = 1,383.75 × 838.07
  4. Step 4: Simplify right side
    1,002.10x = 1,159,679.36
  5. Step 5: Solve for x
    x = 1,159,679.36/1,002.10
  6. Step 6: Final answer
    x = 1,157.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.