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Finding the Fourth Proportional to 3,085.88, 4,628.84 and 777.38

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Solution

The fourth proportional to 3,085.88, 4,628.84 and 777.38 is: 1,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.88 : 4,628.84 = 777.38 : x
  2. Step 2: Convert to fraction form
    3,085.88/4,628.84 = 777.38/x
  3. Step 3: Cross multiply
    3,085.88x = 4,628.84 × 777.38
  4. Step 4: Simplify right side
    3,085.88x = 3,598,340.61
  5. Step 5: Solve for x
    x = 3,598,340.61/3,085.88
  6. Step 6: Final answer
    x = 1,166.07

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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.