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Finding the Fourth Proportional to 7,423.64, 11,137.66 and 2,807

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Solution

The fourth proportional to 7,423.64, 11,137.66 and 2,807 is: 4,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,423.64 : 11,137.66 = 2,807 : x
  2. Step 2: Convert to fraction form
    7,423.64/11,137.66 = 2,807/x
  3. Step 3: Cross multiply
    7,423.64x = 11,137.66 × 2,807
  4. Step 4: Simplify right side
    7,423.64x = 31,263,411.62
  5. Step 5: Solve for x
    x = 31,263,411.62/7,423.64
  6. Step 6: Final answer
    x = 4,211.33

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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.