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Finding the Fourth Proportional to 3,053.07, 4,579.57 and 861.79

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Solution

The fourth proportional to 3,053.07, 4,579.57 and 861.79 is: 1,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.07 : 4,579.57 = 861.79 : x
  2. Step 2: Convert to fraction form
    3,053.07/4,579.57 = 861.79/x
  3. Step 3: Cross multiply
    3,053.07x = 4,579.57 × 861.79
  4. Step 4: Simplify right side
    3,053.07x = 3,946,627.63
  5. Step 5: Solve for x
    x = 3,946,627.63/3,053.07
  6. Step 6: Final answer
    x = 1,292.68

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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.