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Finding the Fourth Proportional to 13,857.65, 20,785.92 and 4,623.65

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Solution

The fourth proportional to 13,857.65, 20,785.92 and 4,623.65 is: 6,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.65 : 20,785.92 = 4,623.65 : x
  2. Step 2: Convert to fraction form
    13,857.65/20,785.92 = 4,623.65/x
  3. Step 3: Cross multiply
    13,857.65x = 20,785.92 × 4,623.65
  4. Step 4: Simplify right side
    13,857.65x = 96,106,715.08
  5. Step 5: Solve for x
    x = 96,106,715.08/13,857.65
  6. Step 6: Final answer
    x = 6,935.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.