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Finding the Fourth Proportional to 3,669.49, 5,505.14 and 1,478.23

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Solution

The fourth proportional to 3,669.49, 5,505.14 and 1,478.23 is: 2,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.49 : 5,505.14 = 1,478.23 : x
  2. Step 2: Convert to fraction form
    3,669.49/5,505.14 = 1,478.23/x
  3. Step 3: Cross multiply
    3,669.49x = 5,505.14 × 1,478.23
  4. Step 4: Simplify right side
    3,669.49x = 8,137,828.19
  5. Step 5: Solve for x
    x = 8,137,828.19/3,669.49
  6. Step 6: Final answer
    x = 2,217.70

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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.