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Finding the Fourth Proportional to 4,805.78, 7,160.89 and 4,281.75

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Solution

The fourth proportional to 4,805.78, 7,160.89 and 4,281.75 is: 6,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.78 : 7,160.89 = 4,281.75 : x
  2. Step 2: Convert to fraction form
    4,805.78/7,160.89 = 4,281.75/x
  3. Step 3: Cross multiply
    4,805.78x = 7,160.89 × 4,281.75
  4. Step 4: Simplify right side
    4,805.78x = 30,661,140.76
  5. Step 5: Solve for x
    x = 30,661,140.76/4,805.78
  6. Step 6: Final answer
    x = 6,380.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.