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Finding the Fourth Proportional to 8,427, 12,646.26 and 2,955

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Solution

The fourth proportional to 8,427, 12,646.26 and 2,955 is: 4,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427 : 12,646.26 = 2,955 : x
  2. Step 2: Convert to fraction form
    8,427/12,646.26 = 2,955/x
  3. Step 3: Cross multiply
    8,427x = 12,646.26 × 2,955
  4. Step 4: Simplify right side
    8,427x = 37,369,698.30
  5. Step 5: Solve for x
    x = 37,369,698.30/8,427
  6. Step 6: Final answer
    x = 4,434.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.