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Finding the Fourth Proportional to 2,012.80, 2,776.64 and 1,184.64

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Solution

The fourth proportional to 2,012.80, 2,776.64 and 1,184.64 is: 1,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.80 : 2,776.64 = 1,184.64 : x
  2. Step 2: Convert to fraction form
    2,012.80/2,776.64 = 1,184.64/x
  3. Step 3: Cross multiply
    2,012.80x = 2,776.64 × 1,184.64
  4. Step 4: Simplify right side
    2,012.80x = 3,289,318.81
  5. Step 5: Solve for x
    x = 3,289,318.81/2,012.80
  6. Step 6: Final answer
    x = 1,634.20

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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.