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Finding the Fourth Proportional to 7,790.64, 10,751.34 and 4,254.12

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Solution

The fourth proportional to 7,790.64, 10,751.34 and 4,254.12 is: 5,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.64 : 10,751.34 = 4,254.12 : x
  2. Step 2: Convert to fraction form
    7,790.64/10,751.34 = 4,254.12/x
  3. Step 3: Cross multiply
    7,790.64x = 10,751.34 × 4,254.12
  4. Step 4: Simplify right side
    7,790.64x = 45,737,490.52
  5. Step 5: Solve for x
    x = 45,737,490.52/7,790.64
  6. Step 6: Final answer
    x = 5,870.83

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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.