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Finding the Fourth Proportional to 3,047.77, 4,205.22 and 1,788.76

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Solution

The fourth proportional to 3,047.77, 4,205.22 and 1,788.76 is: 2,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.77 : 4,205.22 = 1,788.76 : x
  2. Step 2: Convert to fraction form
    3,047.77/4,205.22 = 1,788.76/x
  3. Step 3: Cross multiply
    3,047.77x = 4,205.22 × 1,788.76
  4. Step 4: Simplify right side
    3,047.77x = 7,522,129.33
  5. Step 5: Solve for x
    x = 7,522,129.33/3,047.77
  6. Step 6: Final answer
    x = 2,468.08

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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.