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Finding the Fourth Proportional to 7,166.99, 9,890.87 and 4,182.65

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Solution

The fourth proportional to 7,166.99, 9,890.87 and 4,182.65 is: 5,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.99 : 9,890.87 = 4,182.65 : x
  2. Step 2: Convert to fraction form
    7,166.99/9,890.87 = 4,182.65/x
  3. Step 3: Cross multiply
    7,166.99x = 9,890.87 × 4,182.65
  4. Step 4: Simplify right side
    7,166.99x = 41,370,047.41
  5. Step 5: Solve for x
    x = 41,370,047.41/7,166.99
  6. Step 6: Final answer
    x = 5,772.30

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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.