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Finding the Fourth Proportional to 10,986.84, 15,163.11 and 10,642.32

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Solution

The fourth proportional to 10,986.84, 15,163.11 and 10,642.32 is: 14,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.84 : 15,163.11 = 10,642.32 : x
  2. Step 2: Convert to fraction form
    10,986.84/15,163.11 = 10,642.32/x
  3. Step 3: Cross multiply
    10,986.84x = 15,163.11 × 10,642.32
  4. Step 4: Simplify right side
    10,986.84x = 161,370,668.82
  5. Step 5: Solve for x
    x = 161,370,668.82/10,986.84
  6. Step 6: Final answer
    x = 14,687.63

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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.