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Finding the Fourth Proportional to 12,301.92, 16,978.12 and 6,997.55

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Solution

The fourth proportional to 12,301.92, 16,978.12 and 6,997.55 is: 9,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.92 : 16,978.12 = 6,997.55 : x
  2. Step 2: Convert to fraction form
    12,301.92/16,978.12 = 6,997.55/x
  3. Step 3: Cross multiply
    12,301.92x = 16,978.12 × 6,997.55
  4. Step 4: Simplify right side
    12,301.92x = 118,805,141.22
  5. Step 5: Solve for x
    x = 118,805,141.22/12,301.92
  6. Step 6: Final answer
    x = 9,657.45

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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.