Home / 2,829.50-4,244.25-777.50

Finding the Fourth Proportional to 2,829.50, 4,244.25 and 777.50

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Solution

The fourth proportional to 2,829.50, 4,244.25 and 777.50 is: 1,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.50 : 4,244.25 = 777.50 : x
  2. Step 2: Convert to fraction form
    2,829.50/4,244.25 = 777.50/x
  3. Step 3: Cross multiply
    2,829.50x = 4,244.25 × 777.50
  4. Step 4: Simplify right side
    2,829.50x = 3,299,904.38
  5. Step 5: Solve for x
    x = 3,299,904.38/2,829.50
  6. Step 6: Final answer
    x = 1,166.25

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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.