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Finding the Fourth Proportional to 7,538.12, 10,403.22 and 4,182

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Solution

The fourth proportional to 7,538.12, 10,403.22 and 4,182 is: 5,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.12 : 10,403.22 = 4,182 : x
  2. Step 2: Convert to fraction form
    7,538.12/10,403.22 = 4,182/x
  3. Step 3: Cross multiply
    7,538.12x = 10,403.22 × 4,182
  4. Step 4: Simplify right side
    7,538.12x = 43,506,266.04
  5. Step 5: Solve for x
    x = 43,506,266.04/7,538.12
  6. Step 6: Final answer
    x = 5,771.50

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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.