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Finding the Fourth Proportional to 11,681.52, 16,120.48 and 6,968.52

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Solution

The fourth proportional to 11,681.52, 16,120.48 and 6,968.52 is: 9,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.52 : 16,120.48 = 6,968.52 : x
  2. Step 2: Convert to fraction form
    11,681.52/16,120.48 = 6,968.52/x
  3. Step 3: Cross multiply
    11,681.52x = 16,120.48 × 6,968.52
  4. Step 4: Simplify right side
    11,681.52x = 112,335,887.29
  5. Step 5: Solve for x
    x = 112,335,887.29/11,681.52
  6. Step 6: Final answer
    x = 9,616.55

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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.