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Finding the Fourth Proportional to 13,765.73, 18,986.13 and 9,282.38

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Solution

The fourth proportional to 13,765.73, 18,986.13 and 9,282.38 is: 12,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.73 : 18,986.13 = 9,282.38 : x
  2. Step 2: Convert to fraction form
    13,765.73/18,986.13 = 9,282.38/x
  3. Step 3: Cross multiply
    13,765.73x = 18,986.13 × 9,282.38
  4. Step 4: Simplify right side
    13,765.73x = 176,236,378.46
  5. Step 5: Solve for x
    x = 176,236,378.46/13,765.73
  6. Step 6: Final answer
    x = 12,802.55

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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.