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Finding the Fourth Proportional to 5,451.04, 7,520 and 4,189.84

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Solution

The fourth proportional to 5,451.04, 7,520 and 4,189.84 is: 5,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.04 : 7,520 = 4,189.84 : x
  2. Step 2: Convert to fraction form
    5,451.04/7,520 = 4,189.84/x
  3. Step 3: Cross multiply
    5,451.04x = 7,520 × 4,189.84
  4. Step 4: Simplify right side
    5,451.04x = 31,507,596.80
  5. Step 5: Solve for x
    x = 31,507,596.80/5,451.04
  6. Step 6: Final answer
    x = 5,780.11

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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.