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Finding the Fourth Proportional to 10,805.84, 16,209.54 and 3,785.06

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Solution

The fourth proportional to 10,805.84, 16,209.54 and 3,785.06 is: 5,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.84 : 16,209.54 = 3,785.06 : x
  2. Step 2: Convert to fraction form
    10,805.84/16,209.54 = 3,785.06/x
  3. Step 3: Cross multiply
    10,805.84x = 16,209.54 × 3,785.06
  4. Step 4: Simplify right side
    10,805.84x = 61,354,081.47
  5. Step 5: Solve for x
    x = 61,354,081.47/10,805.84
  6. Step 6: Final answer
    x = 5,677.86

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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.