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Finding the Fourth Proportional to 2,709.80, 3,739.20 and 1,530.84

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Solution

The fourth proportional to 2,709.80, 3,739.20 and 1,530.84 is: 2,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.80 : 3,739.20 = 1,530.84 : x
  2. Step 2: Convert to fraction form
    2,709.80/3,739.20 = 1,530.84/x
  3. Step 3: Cross multiply
    2,709.80x = 3,739.20 × 1,530.84
  4. Step 4: Simplify right side
    2,709.80x = 5,724,116.93
  5. Step 5: Solve for x
    x = 5,724,116.93/2,709.80
  6. Step 6: Final answer
    x = 2,112.38

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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.