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Finding the Fourth Proportional to 3,486.72, 4,811.28 and 2,159.94

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Solution

The fourth proportional to 3,486.72, 4,811.28 and 2,159.94 is: 2,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.72 : 4,811.28 = 2,159.94 : x
  2. Step 2: Convert to fraction form
    3,486.72/4,811.28 = 2,159.94/x
  3. Step 3: Cross multiply
    3,486.72x = 4,811.28 × 2,159.94
  4. Step 4: Simplify right side
    3,486.72x = 10,392,076.12
  5. Step 5: Solve for x
    x = 10,392,076.12/3,486.72
  6. Step 6: Final answer
    x = 2,980.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.