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Finding the Fourth Proportional to 7,156.76, 10,734.76 and 1,962.60

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Solution

The fourth proportional to 7,156.76, 10,734.76 and 1,962.60 is: 2,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.76 : 10,734.76 = 1,962.60 : x
  2. Step 2: Convert to fraction form
    7,156.76/10,734.76 = 1,962.60/x
  3. Step 3: Cross multiply
    7,156.76x = 10,734.76 × 1,962.60
  4. Step 4: Simplify right side
    7,156.76x = 21,068,039.98
  5. Step 5: Solve for x
    x = 21,068,039.98/7,156.76
  6. Step 6: Final answer
    x = 2,943.80

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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.