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Finding the Fourth Proportional to 6,384, 8,807.76 and 4,026.72

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Solution

The fourth proportional to 6,384, 8,807.76 and 4,026.72 is: 5,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 8,807.76 = 4,026.72 : x
  2. Step 2: Convert to fraction form
    6,384/8,807.76 = 4,026.72/x
  3. Step 3: Cross multiply
    6,384x = 8,807.76 × 4,026.72
  4. Step 4: Simplify right side
    6,384x = 35,466,383.35
  5. Step 5: Solve for x
    x = 35,466,383.35/6,384
  6. Step 6: Final answer
    x = 5,555.51

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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.