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Finding the Fourth Proportional to 15,857.81, 21,884.27 and 8,784.89

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Solution

The fourth proportional to 15,857.81, 21,884.27 and 8,784.89 is: 12,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.81 : 21,884.27 = 8,784.89 : x
  2. Step 2: Convert to fraction form
    15,857.81/21,884.27 = 8,784.89/x
  3. Step 3: Cross multiply
    15,857.81x = 21,884.27 × 8,784.89
  4. Step 4: Simplify right side
    15,857.81x = 192,250,904.68
  5. Step 5: Solve for x
    x = 192,250,904.68/15,857.81
  6. Step 6: Final answer
    x = 12,123.42

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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.