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Finding the Fourth Proportional to 13,874.40, 20,733.16 and 9,986.40

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Solution

The fourth proportional to 13,874.40, 20,733.16 and 9,986.40 is: 14,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.40 : 20,733.16 = 9,986.40 : x
  2. Step 2: Convert to fraction form
    13,874.40/20,733.16 = 9,986.40/x
  3. Step 3: Cross multiply
    13,874.40x = 20,733.16 × 9,986.40
  4. Step 4: Simplify right side
    13,874.40x = 207,049,629.02
  5. Step 5: Solve for x
    x = 207,049,629.02/13,874.40
  6. Step 6: Final answer
    x = 14,923.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.