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Finding the Fourth Proportional to 7,802.96, 11,706.36 and 6,942.80

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Solution

The fourth proportional to 7,802.96, 11,706.36 and 6,942.80 is: 10,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.96 : 11,706.36 = 6,942.80 : x
  2. Step 2: Convert to fraction form
    7,802.96/11,706.36 = 6,942.80/x
  3. Step 3: Cross multiply
    7,802.96x = 11,706.36 × 6,942.80
  4. Step 4: Simplify right side
    7,802.96x = 81,274,916.21
  5. Step 5: Solve for x
    x = 81,274,916.21/7,802.96
  6. Step 6: Final answer
    x = 10,415.91

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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.