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Finding the Fourth Proportional to 4,789.76, 7,186.42 and 2,156.47

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Solution

The fourth proportional to 4,789.76, 7,186.42 and 2,156.47 is: 3,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.76 : 7,186.42 = 2,156.47 : x
  2. Step 2: Convert to fraction form
    4,789.76/7,186.42 = 2,156.47/x
  3. Step 3: Cross multiply
    4,789.76x = 7,186.42 × 2,156.47
  4. Step 4: Simplify right side
    4,789.76x = 15,497,293.75
  5. Step 5: Solve for x
    x = 15,497,293.75/4,789.76
  6. Step 6: Final answer
    x = 3,235.51

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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.