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Finding the Fourth Proportional to 6,458, 8,912.04 and 3,514

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Solution

The fourth proportional to 6,458, 8,912.04 and 3,514 is: 4,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458 : 8,912.04 = 3,514 : x
  2. Step 2: Convert to fraction form
    6,458/8,912.04 = 3,514/x
  3. Step 3: Cross multiply
    6,458x = 8,912.04 × 3,514
  4. Step 4: Simplify right side
    6,458x = 31,316,908.56
  5. Step 5: Solve for x
    x = 31,316,908.56/6,458
  6. Step 6: Final answer
    x = 4,849.32

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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.