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Finding the Fourth Proportional to 1,819.10, 2,551.60 and 1,819.10

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Solution

The fourth proportional to 1,819.10, 2,551.60 and 1,819.10 is: 2,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.10 : 2,551.60 = 1,819.10 : x
  2. Step 2: Convert to fraction form
    1,819.10/2,551.60 = 1,819.10/x
  3. Step 3: Cross multiply
    1,819.10x = 2,551.60 × 1,819.10
  4. Step 4: Simplify right side
    1,819.10x = 4,641,615.56
  5. Step 5: Solve for x
    x = 4,641,615.56/1,819.10
  6. Step 6: Final answer
    x = 2,551.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.