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Finding the Fourth Proportional to 7,811.80, 10,780.14 and 4,274.94

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Solution

The fourth proportional to 7,811.80, 10,780.14 and 4,274.94 is: 5,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.80 : 10,780.14 = 4,274.94 : x
  2. Step 2: Convert to fraction form
    7,811.80/10,780.14 = 4,274.94/x
  3. Step 3: Cross multiply
    7,811.80x = 10,780.14 × 4,274.94
  4. Step 4: Simplify right side
    7,811.80x = 46,084,451.69
  5. Step 5: Solve for x
    x = 46,084,451.69/7,811.80
  6. Step 6: Final answer
    x = 5,899.34

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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.