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Finding the Fourth Proportional to 3,483.75, 4,807.80 and 1,992.15

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Solution

The fourth proportional to 3,483.75, 4,807.80 and 1,992.15 is: 2,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.75 : 4,807.80 = 1,992.15 : x
  2. Step 2: Convert to fraction form
    3,483.75/4,807.80 = 1,992.15/x
  3. Step 3: Cross multiply
    3,483.75x = 4,807.80 × 1,992.15
  4. Step 4: Simplify right side
    3,483.75x = 9,577,858.77
  5. Step 5: Solve for x
    x = 9,577,858.77/3,483.75
  6. Step 6: Final answer
    x = 2,749.30

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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.