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Finding the Fourth Proportional to 5,076.25, 7,002.89 and 2,978.89

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Solution

The fourth proportional to 5,076.25, 7,002.89 and 2,978.89 is: 4,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.25 : 7,002.89 = 2,978.89 : x
  2. Step 2: Convert to fraction form
    5,076.25/7,002.89 = 2,978.89/x
  3. Step 3: Cross multiply
    5,076.25x = 7,002.89 × 2,978.89
  4. Step 4: Simplify right side
    5,076.25x = 20,860,817.76
  5. Step 5: Solve for x
    x = 20,860,817.76/5,076.25
  6. Step 6: Final answer
    x = 4,109.50

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1.5x scale

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.