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Finding the Fourth Proportional to 3,578.40, 4,938.08 and 2,006.40

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Solution

The fourth proportional to 3,578.40, 4,938.08 and 2,006.40 is: 2,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.40 : 4,938.08 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    3,578.40/4,938.08 = 2,006.40/x
  3. Step 3: Cross multiply
    3,578.40x = 4,938.08 × 2,006.40
  4. Step 4: Simplify right side
    3,578.40x = 9,907,763.71
  5. Step 5: Solve for x
    x = 9,907,763.71/3,578.40
  6. Step 6: Final answer
    x = 2,768.77

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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.