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Finding the Fourth Proportional to 2,476.03, 3,420.48 and 1,978.02

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Solution

The fourth proportional to 2,476.03, 3,420.48 and 1,978.02 is: 2,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.03 : 3,420.48 = 1,978.02 : x
  2. Step 2: Convert to fraction form
    2,476.03/3,420.48 = 1,978.02/x
  3. Step 3: Cross multiply
    2,476.03x = 3,420.48 × 1,978.02
  4. Step 4: Simplify right side
    2,476.03x = 6,765,760.75
  5. Step 5: Solve for x
    x = 6,765,760.75/2,476.03
  6. Step 6: Final answer
    x = 2,732.50

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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.