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Finding the Fourth Proportional to 3,407.05, 4,701.78 and 1,914.96

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Solution

The fourth proportional to 3,407.05, 4,701.78 and 1,914.96 is: 2,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.05 : 4,701.78 = 1,914.96 : x
  2. Step 2: Convert to fraction form
    3,407.05/4,701.78 = 1,914.96/x
  3. Step 3: Cross multiply
    3,407.05x = 4,701.78 × 1,914.96
  4. Step 4: Simplify right side
    3,407.05x = 9,003,720.63
  5. Step 5: Solve for x
    x = 9,003,720.63/3,407.05
  6. Step 6: Final answer
    x = 2,642.68

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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.