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Finding the Fourth Proportional to 51,532, 77,298 and 12,620

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Solution

The fourth proportional to 51,532, 77,298 and 12,620 is: 18,930

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,532 : 77,298 = 12,620 : x
  2. Step 2: Convert to fraction form
    51,532/77,298 = 12,620/x
  3. Step 3: Cross multiply
    51,532x = 77,298 × 12,620
  4. Step 4: Simplify right side
    51,532x = 975,500,760
  5. Step 5: Solve for x
    x = 975,500,760/51,532
  6. Step 6: Final answer
    x = 18,930

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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.