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Finding the Fourth Proportional to 3,383.77, 5,075.76 and 918.58

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Solution

The fourth proportional to 3,383.77, 5,075.76 and 918.58 is: 1,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.77 : 5,075.76 = 918.58 : x
  2. Step 2: Convert to fraction form
    3,383.77/5,075.76 = 918.58/x
  3. Step 3: Cross multiply
    3,383.77x = 5,075.76 × 918.58
  4. Step 4: Simplify right side
    3,383.77x = 4,662,491.62
  5. Step 5: Solve for x
    x = 4,662,491.62/3,383.77
  6. Step 6: Final answer
    x = 1,377.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.