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Finding the Fourth Proportional to 7,790.78, 10,751.49 and 4,254.21

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Solution

The fourth proportional to 7,790.78, 10,751.49 and 4,254.21 is: 5,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.78 : 10,751.49 = 4,254.21 : x
  2. Step 2: Convert to fraction form
    7,790.78/10,751.49 = 4,254.21/x
  3. Step 3: Cross multiply
    7,790.78x = 10,751.49 × 4,254.21
  4. Step 4: Simplify right side
    7,790.78x = 45,739,096.27
  5. Step 5: Solve for x
    x = 45,739,096.27/7,790.78
  6. Step 6: Final answer
    x = 5,870.93

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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.