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Finding the Fourth Proportional to 6,412, 8,848.56 and 3,468

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Solution

The fourth proportional to 6,412, 8,848.56 and 3,468 is: 4,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 8,848.56 = 3,468 : x
  2. Step 2: Convert to fraction form
    6,412/8,848.56 = 3,468/x
  3. Step 3: Cross multiply
    6,412x = 8,848.56 × 3,468
  4. Step 4: Simplify right side
    6,412x = 30,686,806.08
  5. Step 5: Solve for x
    x = 30,686,806.08/6,412
  6. Step 6: Final answer
    x = 4,785.84

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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.