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Finding the Fourth Proportional to 3,201, 4,776.38 and 2,873.76

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Solution

The fourth proportional to 3,201, 4,776.38 and 2,873.76 is: 4,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201 : 4,776.38 = 2,873.76 : x
  2. Step 2: Convert to fraction form
    3,201/4,776.38 = 2,873.76/x
  3. Step 3: Cross multiply
    3,201x = 4,776.38 × 2,873.76
  4. Step 4: Simplify right side
    3,201x = 13,726,155.42
  5. Step 5: Solve for x
    x = 13,726,155.42/3,201
  6. Step 6: Final answer
    x = 4,288.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.