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Finding the Fourth Proportional to 2,942.94, 4,415.02 and 995.10

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Solution

The fourth proportional to 2,942.94, 4,415.02 and 995.10 is: 1,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.94 : 4,415.02 = 995.10 : x
  2. Step 2: Convert to fraction form
    2,942.94/4,415.02 = 995.10/x
  3. Step 3: Cross multiply
    2,942.94x = 4,415.02 × 995.10
  4. Step 4: Simplify right side
    2,942.94x = 4,393,386.40
  5. Step 5: Solve for x
    x = 4,393,386.40/2,942.94
  6. Step 6: Final answer
    x = 1,492.86

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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.