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Finding the Fourth Proportional to 3,673.98, 5,511.64 and 1,209.50

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Solution

The fourth proportional to 3,673.98, 5,511.64 and 1,209.50 is: 1,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.98 : 5,511.64 = 1,209.50 : x
  2. Step 2: Convert to fraction form
    3,673.98/5,511.64 = 1,209.50/x
  3. Step 3: Cross multiply
    3,673.98x = 5,511.64 × 1,209.50
  4. Step 4: Simplify right side
    3,673.98x = 6,666,328.58
  5. Step 5: Solve for x
    x = 6,666,328.58/3,673.98
  6. Step 6: Final answer
    x = 1,814.47

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1.5x scale

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.