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Finding the Fourth Proportional to 27,030, 40,545 and 10,614

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Solution

The fourth proportional to 27,030, 40,545 and 10,614 is: 15,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,030 : 40,545 = 10,614 : x
  2. Step 2: Convert to fraction form
    27,030/40,545 = 10,614/x
  3. Step 3: Cross multiply
    27,030x = 40,545 × 10,614
  4. Step 4: Simplify right side
    27,030x = 430,344,630
  5. Step 5: Solve for x
    x = 430,344,630/27,030
  6. Step 6: Final answer
    x = 15,921

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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.