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Finding the Fourth Proportional to 8,454, 11,666.43 and 4,676.88

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Solution

The fourth proportional to 8,454, 11,666.43 and 4,676.88 is: 6,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454 : 11,666.43 = 4,676.88 : x
  2. Step 2: Convert to fraction form
    8,454/11,666.43 = 4,676.88/x
  3. Step 3: Cross multiply
    8,454x = 11,666.43 × 4,676.88
  4. Step 4: Simplify right side
    8,454x = 54,562,493.14
  5. Step 5: Solve for x
    x = 54,562,493.14/8,454
  6. Step 6: Final answer
    x = 6,454.04

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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.