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Finding the Fourth Proportional to 7,876.09, 11,817.70 and 2,946.10

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Solution

The fourth proportional to 7,876.09, 11,817.70 and 2,946.10 is: 4,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.09 : 11,817.70 = 2,946.10 : x
  2. Step 2: Convert to fraction form
    7,876.09/11,817.70 = 2,946.10/x
  3. Step 3: Cross multiply
    7,876.09x = 11,817.70 × 2,946.10
  4. Step 4: Simplify right side
    7,876.09x = 34,816,077.98
  5. Step 5: Solve for x
    x = 34,816,077.98/7,876.09
  6. Step 6: Final answer
    x = 4,420.48

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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.