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Finding the Fourth Proportional to 1,385.04, 1,910.68 and 825.13

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Solution

The fourth proportional to 1,385.04, 1,910.68 and 825.13 is: 1,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.04 : 1,910.68 = 825.13 : x
  2. Step 2: Convert to fraction form
    1,385.04/1,910.68 = 825.13/x
  3. Step 3: Cross multiply
    1,385.04x = 1,910.68 × 825.13
  4. Step 4: Simplify right side
    1,385.04x = 1,576,559.39
  5. Step 5: Solve for x
    x = 1,576,559.39/1,385.04
  6. Step 6: Final answer
    x = 1,138.28

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1.5x scale

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.