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Finding the Fourth Proportional to 6,446, 8,880.30 and 6,058.49

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Solution

The fourth proportional to 6,446, 8,880.30 and 6,058.49 is: 8,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 8,880.30 = 6,058.49 : x
  2. Step 2: Convert to fraction form
    6,446/8,880.30 = 6,058.49/x
  3. Step 3: Cross multiply
    6,446x = 8,880.30 × 6,058.49
  4. Step 4: Simplify right side
    6,446x = 53,801,208.75
  5. Step 5: Solve for x
    x = 53,801,208.75/6,446
  6. Step 6: Final answer
    x = 8,346.45

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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.