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Finding the Fourth Proportional to 17,919.40, 24,729.08 and 9,853.40

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Solution

The fourth proportional to 17,919.40, 24,729.08 and 9,853.40 is: 13,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,919.40 : 24,729.08 = 9,853.40 : x
  2. Step 2: Convert to fraction form
    17,919.40/24,729.08 = 9,853.40/x
  3. Step 3: Cross multiply
    17,919.40x = 24,729.08 × 9,853.40
  4. Step 4: Simplify right side
    17,919.40x = 243,665,516.87
  5. Step 5: Solve for x
    x = 243,665,516.87/17,919.40
  6. Step 6: Final answer
    x = 13,597.86

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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.