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Finding the Fourth Proportional to 2,946.70, 4,420.05 and 2,817.10

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Solution

The fourth proportional to 2,946.70, 4,420.05 and 2,817.10 is: 4,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.70 : 4,420.05 = 2,817.10 : x
  2. Step 2: Convert to fraction form
    2,946.70/4,420.05 = 2,817.10/x
  3. Step 3: Cross multiply
    2,946.70x = 4,420.05 × 2,817.10
  4. Step 4: Simplify right side
    2,946.70x = 12,451,722.86
  5. Step 5: Solve for x
    x = 12,451,722.86/2,946.70
  6. Step 6: Final answer
    x = 4,225.65

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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.