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Finding the Fourth Proportional to 27,426, 41,145.48 and 8,958

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Solution

The fourth proportional to 27,426, 41,145.48 and 8,958 is: 13,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,426 : 41,145.48 = 8,958 : x
  2. Step 2: Convert to fraction form
    27,426/41,145.48 = 8,958/x
  3. Step 3: Cross multiply
    27,426x = 41,145.48 × 8,958
  4. Step 4: Simplify right side
    27,426x = 368,581,209.84
  5. Step 5: Solve for x
    x = 368,581,209.84/27,426
  6. Step 6: Final answer
    x = 13,439.12

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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.