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Finding the Fourth Proportional to 7,825, 10,798.50 and 4,513

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Solution

The fourth proportional to 7,825, 10,798.50 and 4,513 is: 6,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825 : 10,798.50 = 4,513 : x
  2. Step 2: Convert to fraction form
    7,825/10,798.50 = 4,513/x
  3. Step 3: Cross multiply
    7,825x = 10,798.50 × 4,513
  4. Step 4: Simplify right side
    7,825x = 48,733,630.50
  5. Step 5: Solve for x
    x = 48,733,630.50/7,825
  6. Step 6: Final answer
    x = 6,227.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.