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Finding the Fourth Proportional to 2,770.34, 4,154.80 and 822.10

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Solution

The fourth proportional to 2,770.34, 4,154.80 and 822.10 is: 1,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.34 : 4,154.80 = 822.10 : x
  2. Step 2: Convert to fraction form
    2,770.34/4,154.80 = 822.10/x
  3. Step 3: Cross multiply
    2,770.34x = 4,154.80 × 822.10
  4. Step 4: Simplify right side
    2,770.34x = 3,415,661.08
  5. Step 5: Solve for x
    x = 3,415,661.08/2,770.34
  6. Step 6: Final answer
    x = 1,232.94

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1.5x scale

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.