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Finding the Fourth Proportional to 2,970.19, 4,455.36 and 995.85

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Solution

The fourth proportional to 2,970.19, 4,455.36 and 995.85 is: 1,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.19 : 4,455.36 = 995.85 : x
  2. Step 2: Convert to fraction form
    2,970.19/4,455.36 = 995.85/x
  3. Step 3: Cross multiply
    2,970.19x = 4,455.36 × 995.85
  4. Step 4: Simplify right side
    2,970.19x = 4,436,870.26
  5. Step 5: Solve for x
    x = 4,436,870.26/2,970.19
  6. Step 6: Final answer
    x = 1,493.80

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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.