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Finding the Fourth Proportional to 2,099.12, 2,893.12 and 1,538.39

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Solution

The fourth proportional to 2,099.12, 2,893.12 and 1,538.39 is: 2,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.12 : 2,893.12 = 1,538.39 : x
  2. Step 2: Convert to fraction form
    2,099.12/2,893.12 = 1,538.39/x
  3. Step 3: Cross multiply
    2,099.12x = 2,893.12 × 1,538.39
  4. Step 4: Simplify right side
    2,099.12x = 4,450,750.26
  5. Step 5: Solve for x
    x = 4,450,750.26/2,099.12
  6. Step 6: Final answer
    x = 2,120.30

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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.