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Finding the Fourth Proportional to 12,017.26, 16,581.29 and 6,978.88

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Solution

The fourth proportional to 12,017.26, 16,581.29 and 6,978.88 is: 9,629.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.26 : 16,581.29 = 6,978.88 : x
  2. Step 2: Convert to fraction form
    12,017.26/16,581.29 = 6,978.88/x
  3. Step 3: Cross multiply
    12,017.26x = 16,581.29 × 6,978.88
  4. Step 4: Simplify right side
    12,017.26x = 115,718,756.81
  5. Step 5: Solve for x
    x = 115,718,756.81/12,017.26
  6. Step 6: Final answer
    x = 9,629.38

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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.