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Finding the Fourth Proportional to 7,176, 10,761.12 and 3,842.40

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Solution

The fourth proportional to 7,176, 10,761.12 and 3,842.40 is: 5,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 10,761.12 = 3,842.40 : x
  2. Step 2: Convert to fraction form
    7,176/10,761.12 = 3,842.40/x
  3. Step 3: Cross multiply
    7,176x = 10,761.12 × 3,842.40
  4. Step 4: Simplify right side
    7,176x = 41,348,527.49
  5. Step 5: Solve for x
    x = 41,348,527.49/7,176
  6. Step 6: Final answer
    x = 5,762.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.