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Finding the Fourth Proportional to 3,805.84, 5,708.84 and 1,307.62

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Solution

The fourth proportional to 3,805.84, 5,708.84 and 1,307.62 is: 1,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.84 : 5,708.84 = 1,307.62 : x
  2. Step 2: Convert to fraction form
    3,805.84/5,708.84 = 1,307.62/x
  3. Step 3: Cross multiply
    3,805.84x = 5,708.84 × 1,307.62
  4. Step 4: Simplify right side
    3,805.84x = 7,464,993.36
  5. Step 5: Solve for x
    x = 7,464,993.36/3,805.84
  6. Step 6: Final answer
    x = 1,961.46

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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.