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Finding the Fourth Proportional to 5,782, 7,978.68 and 3,264.70

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Solution

The fourth proportional to 5,782, 7,978.68 and 3,264.70 is: 4,505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 7,978.68 = 3,264.70 : x
  2. Step 2: Convert to fraction form
    5,782/7,978.68 = 3,264.70/x
  3. Step 3: Cross multiply
    5,782x = 7,978.68 × 3,264.70
  4. Step 4: Simplify right side
    5,782x = 26,047,996.60
  5. Step 5: Solve for x
    x = 26,047,996.60/5,782
  6. Step 6: Final answer
    x = 4,505.01

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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.