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Finding the Fourth Proportional to 7,203.69, 9,945 and 4,977.54

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Solution

The fourth proportional to 7,203.69, 9,945 and 4,977.54 is: 6,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.69 : 9,945 = 4,977.54 : x
  2. Step 2: Convert to fraction form
    7,203.69/9,945 = 4,977.54/x
  3. Step 3: Cross multiply
    7,203.69x = 9,945 × 4,977.54
  4. Step 4: Simplify right side
    7,203.69x = 49,501,635.30
  5. Step 5: Solve for x
    x = 49,501,635.30/7,203.69
  6. Step 6: Final answer
    x = 6,871.71

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1.5x scale

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.