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Finding the Fourth Proportional to 3,412.58, 4,709.00 and 1,920.48

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Solution

The fourth proportional to 3,412.58, 4,709.00 and 1,920.48 is: 2,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.58 : 4,709.00 = 1,920.48 : x
  2. Step 2: Convert to fraction form
    3,412.58/4,709.00 = 1,920.48/x
  3. Step 3: Cross multiply
    3,412.58x = 4,709.00 × 1,920.48
  4. Step 4: Simplify right side
    3,412.58x = 9,043,527.46
  5. Step 5: Solve for x
    x = 9,043,527.46/3,412.58
  6. Step 6: Final answer
    x = 2,650.05

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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.