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Finding the Fourth Proportional to 7,876.96, 11,817.20 and 2,946.64

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Solution

The fourth proportional to 7,876.96, 11,817.20 and 2,946.64 is: 4,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.96 : 11,817.20 = 2,946.64 : x
  2. Step 2: Convert to fraction form
    7,876.96/11,817.20 = 2,946.64/x
  3. Step 3: Cross multiply
    7,876.96x = 11,817.20 × 2,946.64
  4. Step 4: Simplify right side
    7,876.96x = 34,821,054.95
  5. Step 5: Solve for x
    x = 34,821,054.95/7,876.96
  6. Step 6: Final answer
    x = 4,420.62

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1.5x scale

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.