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Finding the Fourth Proportional to 2,171.06, 3,256.58 and 527.60

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Solution

The fourth proportional to 2,171.06, 3,256.58 and 527.60 is: 791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.06 : 3,256.58 = 527.60 : x
  2. Step 2: Convert to fraction form
    2,171.06/3,256.58 = 527.60/x
  3. Step 3: Cross multiply
    2,171.06x = 3,256.58 × 527.60
  4. Step 4: Simplify right side
    2,171.06x = 1,718,181.07
  5. Step 5: Solve for x
    x = 1,718,181.07/2,171.06
  6. Step 6: Final answer
    x = 791.40

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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.