Home / 2,770.10-4,155.69-822.32

Finding the Fourth Proportional to 2,770.10, 4,155.69 and 822.32

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Solution

The fourth proportional to 2,770.10, 4,155.69 and 822.32 is: 1,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.10 : 4,155.69 = 822.32 : x
  2. Step 2: Convert to fraction form
    2,770.10/4,155.69 = 822.32/x
  3. Step 3: Cross multiply
    2,770.10x = 4,155.69 × 822.32
  4. Step 4: Simplify right side
    2,770.10x = 3,417,307.00
  5. Step 5: Solve for x
    x = 3,417,307.00/2,770.10
  6. Step 6: Final answer
    x = 1,233.64

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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.