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Finding the Fourth Proportional to 2,984.50, 4,475.83 and 1,423.68

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Solution

The fourth proportional to 2,984.50, 4,475.83 and 1,423.68 is: 2,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.50 : 4,475.83 = 1,423.68 : x
  2. Step 2: Convert to fraction form
    2,984.50/4,475.83 = 1,423.68/x
  3. Step 3: Cross multiply
    2,984.50x = 4,475.83 × 1,423.68
  4. Step 4: Simplify right side
    2,984.50x = 6,372,135.98
  5. Step 5: Solve for x
    x = 6,372,135.98/2,984.50
  6. Step 6: Final answer
    x = 2,135.08

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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.