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Finding the Fourth Proportional to 2,164.80, 3,247.20 and 521.35

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Solution

The fourth proportional to 2,164.80, 3,247.20 and 521.35 is: 782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.80 : 3,247.20 = 521.35 : x
  2. Step 2: Convert to fraction form
    2,164.80/3,247.20 = 521.35/x
  3. Step 3: Cross multiply
    2,164.80x = 3,247.20 × 521.35
  4. Step 4: Simplify right side
    2,164.80x = 1,692,927.72
  5. Step 5: Solve for x
    x = 1,692,927.72/2,164.80
  6. Step 6: Final answer
    x = 782.03

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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.