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Finding the Fourth Proportional to 17,662.64, 26,470.51 and 12,960.65

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Solution

The fourth proportional to 17,662.64, 26,470.51 and 12,960.65 is: 19,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.64 : 26,470.51 = 12,960.65 : x
  2. Step 2: Convert to fraction form
    17,662.64/26,470.51 = 12,960.65/x
  3. Step 3: Cross multiply
    17,662.64x = 26,470.51 × 12,960.65
  4. Step 4: Simplify right side
    17,662.64x = 343,074,899.28
  5. Step 5: Solve for x
    x = 343,074,899.28/17,662.64
  6. Step 6: Final answer
    x = 19,423.76

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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.