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Finding the Fourth Proportional to 6,443, 8,876.16 and 6,055.49

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Solution

The fourth proportional to 6,443, 8,876.16 and 6,055.49 is: 8,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443 : 8,876.16 = 6,055.49 : x
  2. Step 2: Convert to fraction form
    6,443/8,876.16 = 6,055.49/x
  3. Step 3: Cross multiply
    6,443x = 8,876.16 × 6,055.49
  4. Step 4: Simplify right side
    6,443x = 53,749,498.12
  5. Step 5: Solve for x
    x = 53,749,498.12/6,443
  6. Step 6: Final answer
    x = 8,342.31

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1.5x scale

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.