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Finding the Fourth Proportional to 9,876, 14,814 and 2,580

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Solution

The fourth proportional to 9,876, 14,814 and 2,580 is: 3,870

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876 : 14,814 = 2,580 : x
  2. Step 2: Convert to fraction form
    9,876/14,814 = 2,580/x
  3. Step 3: Cross multiply
    9,876x = 14,814 × 2,580
  4. Step 4: Simplify right side
    9,876x = 38,220,120
  5. Step 5: Solve for x
    x = 38,220,120/9,876
  6. Step 6: Final answer
    x = 3,870

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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.