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Finding the Fourth Proportional to 7,978.47, 11,011.60 and 6,086.48

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Solution

The fourth proportional to 7,978.47, 11,011.60 and 6,086.48 is: 8,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.47 : 11,011.60 = 6,086.48 : x
  2. Step 2: Convert to fraction form
    7,978.47/11,011.60 = 6,086.48/x
  3. Step 3: Cross multiply
    7,978.47x = 11,011.60 × 6,086.48
  4. Step 4: Simplify right side
    7,978.47x = 67,021,855.64
  5. Step 5: Solve for x
    x = 67,021,855.64/7,978.47
  6. Step 6: Final answer
    x = 8,400.34

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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.