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Finding the Fourth Proportional to 10,871.48, 14,986.14 and 8,959.88

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Solution

The fourth proportional to 10,871.48, 14,986.14 and 8,959.88 is: 12,351.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.48 : 14,986.14 = 8,959.88 : x
  2. Step 2: Convert to fraction form
    10,871.48/14,986.14 = 8,959.88/x
  3. Step 3: Cross multiply
    10,871.48x = 14,986.14 × 8,959.88
  4. Step 4: Simplify right side
    10,871.48x = 134,274,016.06
  5. Step 5: Solve for x
    x = 134,274,016.06/10,871.48
  6. Step 6: Final answer
    x = 12,351.03

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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.