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Finding the Fourth Proportional to 2,801.70, 4,205.14 and 1,416.01

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Solution

The fourth proportional to 2,801.70, 4,205.14 and 1,416.01 is: 2,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.70 : 4,205.14 = 1,416.01 : x
  2. Step 2: Convert to fraction form
    2,801.70/4,205.14 = 1,416.01/x
  3. Step 3: Cross multiply
    2,801.70x = 4,205.14 × 1,416.01
  4. Step 4: Simplify right side
    2,801.70x = 5,954,520.29
  5. Step 5: Solve for x
    x = 5,954,520.29/2,801.70
  6. Step 6: Final answer
    x = 2,125.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.