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Finding the Fourth Proportional to 3,406.64, 4,701.28 and 1,914.52

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Solution

The fourth proportional to 3,406.64, 4,701.28 and 1,914.52 is: 2,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.64 : 4,701.28 = 1,914.52 : x
  2. Step 2: Convert to fraction form
    3,406.64/4,701.28 = 1,914.52/x
  3. Step 3: Cross multiply
    3,406.64x = 4,701.28 × 1,914.52
  4. Step 4: Simplify right side
    3,406.64x = 9,000,694.59
  5. Step 5: Solve for x
    x = 9,000,694.59/3,406.64
  6. Step 6: Final answer
    x = 2,642.10

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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.