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Finding the Fourth Proportional to 3,406.96, 4,701.42 and 1,915.12

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Solution

The fourth proportional to 3,406.96, 4,701.42 and 1,915.12 is: 2,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.96 : 4,701.42 = 1,915.12 : x
  2. Step 2: Convert to fraction form
    3,406.96/4,701.42 = 1,915.12/x
  3. Step 3: Cross multiply
    3,406.96x = 4,701.42 × 1,915.12
  4. Step 4: Simplify right side
    3,406.96x = 9,003,783.47
  5. Step 5: Solve for x
    x = 9,003,783.47/3,406.96
  6. Step 6: Final answer
    x = 2,642.76

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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.