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Finding the Fourth Proportional to 1,636.50, 2,250.63 and 1,300.98

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Solution

The fourth proportional to 1,636.50, 2,250.63 and 1,300.98 is: 1,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.50 : 2,250.63 = 1,300.98 : x
  2. Step 2: Convert to fraction form
    1,636.50/2,250.63 = 1,300.98/x
  3. Step 3: Cross multiply
    1,636.50x = 2,250.63 × 1,300.98
  4. Step 4: Simplify right side
    1,636.50x = 2,928,024.62
  5. Step 5: Solve for x
    x = 2,928,024.62/1,636.50
  6. Step 6: Final answer
    x = 1,789.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.