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Finding the Fourth Proportional to 6,978.45, 9,627.53 and 3,992.69

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Solution

The fourth proportional to 6,978.45, 9,627.53 and 3,992.69 is: 5,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.45 : 9,627.53 = 3,992.69 : x
  2. Step 2: Convert to fraction form
    6,978.45/9,627.53 = 3,992.69/x
  3. Step 3: Cross multiply
    6,978.45x = 9,627.53 × 3,992.69
  4. Step 4: Simplify right side
    6,978.45x = 38,439,746.86
  5. Step 5: Solve for x
    x = 38,439,746.86/6,978.45
  6. Step 6: Final answer
    x = 5,508.35

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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.