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Finding the Fourth Proportional to 6,419.22, 8,854.20 and 4,830

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Solution

The fourth proportional to 6,419.22, 8,854.20 and 4,830 is: 6,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.22 : 8,854.20 = 4,830 : x
  2. Step 2: Convert to fraction form
    6,419.22/8,854.20 = 4,830/x
  3. Step 3: Cross multiply
    6,419.22x = 8,854.20 × 4,830
  4. Step 4: Simplify right side
    6,419.22x = 42,765,786
  5. Step 5: Solve for x
    x = 42,765,786/6,419.22
  6. Step 6: Final answer
    x = 6,662.15

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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.