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Finding the Fourth Proportional to 51,526, 77,289 and 12,614

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Solution

The fourth proportional to 51,526, 77,289 and 12,614 is: 18,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,526 : 77,289 = 12,614 : x
  2. Step 2: Convert to fraction form
    51,526/77,289 = 12,614/x
  3. Step 3: Cross multiply
    51,526x = 77,289 × 12,614
  4. Step 4: Simplify right side
    51,526x = 974,923,446
  5. Step 5: Solve for x
    x = 974,923,446/51,526
  6. Step 6: Final answer
    x = 18,921

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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.