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Finding the Fourth Proportional to 7,776.49, 10,728.17 and 4,942.34

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Solution

The fourth proportional to 7,776.49, 10,728.17 and 4,942.34 is: 6,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.49 : 10,728.17 = 4,942.34 : x
  2. Step 2: Convert to fraction form
    7,776.49/10,728.17 = 4,942.34/x
  3. Step 3: Cross multiply
    7,776.49x = 10,728.17 × 4,942.34
  4. Step 4: Simplify right side
    7,776.49x = 53,022,265.83
  5. Step 5: Solve for x
    x = 53,022,265.83/7,776.49
  6. Step 6: Final answer
    x = 6,818.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.