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Finding the Fourth Proportional to 10,805.25, 16,207.88 and 3,509.25

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Solution

The fourth proportional to 10,805.25, 16,207.88 and 3,509.25 is: 5,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.25 : 16,207.88 = 3,509.25 : x
  2. Step 2: Convert to fraction form
    10,805.25/16,207.88 = 3,509.25/x
  3. Step 3: Cross multiply
    10,805.25x = 16,207.88 × 3,509.25
  4. Step 4: Simplify right side
    10,805.25x = 56,877,485.34
  5. Step 5: Solve for x
    x = 56,877,485.34/10,805.25
  6. Step 6: Final answer
    x = 5,263.88

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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.