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Finding the Fourth Proportional to 4,348, 6,518.16 and 2,125.66

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Solution

The fourth proportional to 4,348, 6,518.16 and 2,125.66 is: 3,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348 : 6,518.16 = 2,125.66 : x
  2. Step 2: Convert to fraction form
    4,348/6,518.16 = 2,125.66/x
  3. Step 3: Cross multiply
    4,348x = 6,518.16 × 2,125.66
  4. Step 4: Simplify right side
    4,348x = 13,855,391.99
  5. Step 5: Solve for x
    x = 13,855,391.99/4,348
  6. Step 6: Final answer
    x = 3,186.61

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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.