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Finding the Fourth Proportional to 3,020.71, 4,530.86 and 829.25

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Solution

The fourth proportional to 3,020.71, 4,530.86 and 829.25 is: 1,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.71 : 4,530.86 = 829.25 : x
  2. Step 2: Convert to fraction form
    3,020.71/4,530.86 = 829.25/x
  3. Step 3: Cross multiply
    3,020.71x = 4,530.86 × 829.25
  4. Step 4: Simplify right side
    3,020.71x = 3,757,211.51
  5. Step 5: Solve for x
    x = 3,757,211.51/3,020.71
  6. Step 6: Final answer
    x = 1,243.82

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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.