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Finding the Fourth Proportional to 5,102.39, 7,041.08 and 2,978.03

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Solution

The fourth proportional to 5,102.39, 7,041.08 and 2,978.03 is: 4,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.39 : 7,041.08 = 2,978.03 : x
  2. Step 2: Convert to fraction form
    5,102.39/7,041.08 = 2,978.03/x
  3. Step 3: Cross multiply
    5,102.39x = 7,041.08 × 2,978.03
  4. Step 4: Simplify right side
    5,102.39x = 20,968,572.52
  5. Step 5: Solve for x
    x = 20,968,572.52/5,102.39
  6. Step 6: Final answer
    x = 4,109.56

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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.