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Finding the Fourth Proportional to 4,894.78, 7,344.60 and 2,429.50

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Solution

The fourth proportional to 4,894.78, 7,344.60 and 2,429.50 is: 3,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.78 : 7,344.60 = 2,429.50 : x
  2. Step 2: Convert to fraction form
    4,894.78/7,344.60 = 2,429.50/x
  3. Step 3: Cross multiply
    4,894.78x = 7,344.60 × 2,429.50
  4. Step 4: Simplify right side
    4,894.78x = 17,843,705.70
  5. Step 5: Solve for x
    x = 17,843,705.70/4,894.78
  6. Step 6: Final answer
    x = 3,645.46

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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.