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Finding the Fourth Proportional to 7,180.65, 9,907.16 and 4,349.07

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Solution

The fourth proportional to 7,180.65, 9,907.16 and 4,349.07 is: 6,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.65 : 9,907.16 = 4,349.07 : x
  2. Step 2: Convert to fraction form
    7,180.65/9,907.16 = 4,349.07/x
  3. Step 3: Cross multiply
    7,180.65x = 9,907.16 × 4,349.07
  4. Step 4: Simplify right side
    7,180.65x = 43,086,910.60
  5. Step 5: Solve for x
    x = 43,086,910.60/7,180.65
  6. Step 6: Final answer
    x = 6,000.42

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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.