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Finding the Fourth Proportional to 4,200, 6,307.20 and 3,981.12

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Solution

The fourth proportional to 4,200, 6,307.20 and 3,981.12 is: 5,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200 : 6,307.20 = 3,981.12 : x
  2. Step 2: Convert to fraction form
    4,200/6,307.20 = 3,981.12/x
  3. Step 3: Cross multiply
    4,200x = 6,307.20 × 3,981.12
  4. Step 4: Simplify right side
    4,200x = 25,109,720.06
  5. Step 5: Solve for x
    x = 25,109,720.06/4,200
  6. Step 6: Final answer
    x = 5,978.50

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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.