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Finding the Fourth Proportional to 4,978.30, 7,465.65 and 2,512.30

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Solution

The fourth proportional to 4,978.30, 7,465.65 and 2,512.30 is: 3,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.30 : 7,465.65 = 2,512.30 : x
  2. Step 2: Convert to fraction form
    4,978.30/7,465.65 = 2,512.30/x
  3. Step 3: Cross multiply
    4,978.30x = 7,465.65 × 2,512.30
  4. Step 4: Simplify right side
    4,978.30x = 18,755,952.50
  5. Step 5: Solve for x
    x = 18,755,952.50/4,978.30
  6. Step 6: Final answer
    x = 3,767.54

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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.