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Finding the Fourth Proportional to 6,446, 8,895.48 and 3,502

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Solution

The fourth proportional to 6,446, 8,895.48 and 3,502 is: 4,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 8,895.48 = 3,502 : x
  2. Step 2: Convert to fraction form
    6,446/8,895.48 = 3,502/x
  3. Step 3: Cross multiply
    6,446x = 8,895.48 × 3,502
  4. Step 4: Simplify right side
    6,446x = 31,151,970.96
  5. Step 5: Solve for x
    x = 31,151,970.96/6,446
  6. Step 6: Final answer
    x = 4,832.76

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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.