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Finding the Fourth Proportional to 2,709.73, 3,739.40 and 1,530.80

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Solution

The fourth proportional to 2,709.73, 3,739.40 and 1,530.80 is: 2,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.73 : 3,739.40 = 1,530.80 : x
  2. Step 2: Convert to fraction form
    2,709.73/3,739.40 = 1,530.80/x
  3. Step 3: Cross multiply
    2,709.73x = 3,739.40 × 1,530.80
  4. Step 4: Simplify right side
    2,709.73x = 5,724,254.82
  5. Step 5: Solve for x
    x = 5,724,254.82/2,709.73
  6. Step 6: Final answer
    x = 2,112.49

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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.