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Finding the Fourth Proportional to 18,706.97, 25,815.77 and 10,209.16

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Solution

The fourth proportional to 18,706.97, 25,815.77 and 10,209.16 is: 14,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.97 : 25,815.77 = 10,209.16 : x
  2. Step 2: Convert to fraction form
    18,706.97/25,815.77 = 10,209.16/x
  3. Step 3: Cross multiply
    18,706.97x = 25,815.77 × 10,209.16
  4. Step 4: Simplify right side
    18,706.97x = 263,557,326.45
  5. Step 5: Solve for x
    x = 263,557,326.45/18,706.97
  6. Step 6: Final answer
    x = 14,088.72

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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.