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Finding the Fourth Proportional to 7,419, 11,130.12 and 2,802

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Solution

The fourth proportional to 7,419, 11,130.12 and 2,802 is: 4,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419 : 11,130.12 = 2,802 : x
  2. Step 2: Convert to fraction form
    7,419/11,130.12 = 2,802/x
  3. Step 3: Cross multiply
    7,419x = 11,130.12 × 2,802
  4. Step 4: Simplify right side
    7,419x = 31,186,596.24
  5. Step 5: Solve for x
    x = 31,186,596.24/7,419
  6. Step 6: Final answer
    x = 4,203.61

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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.