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Finding the Fourth Proportional to 34,570, 51,855 and 9,946

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Solution

The fourth proportional to 34,570, 51,855 and 9,946 is: 14,919

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,570 : 51,855 = 9,946 : x
  2. Step 2: Convert to fraction form
    34,570/51,855 = 9,946/x
  3. Step 3: Cross multiply
    34,570x = 51,855 × 9,946
  4. Step 4: Simplify right side
    34,570x = 515,749,830
  5. Step 5: Solve for x
    x = 515,749,830/34,570
  6. Step 6: Final answer
    x = 14,919

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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.