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Finding the Fourth Proportional to 15,878, 23,817 and 4,934

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Solution

The fourth proportional to 15,878, 23,817 and 4,934 is: 7,401

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878 : 23,817 = 4,934 : x
  2. Step 2: Convert to fraction form
    15,878/23,817 = 4,934/x
  3. Step 3: Cross multiply
    15,878x = 23,817 × 4,934
  4. Step 4: Simplify right side
    15,878x = 117,513,078
  5. Step 5: Solve for x
    x = 117,513,078/15,878
  6. Step 6: Final answer
    x = 7,401

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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.