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Finding the Fourth Proportional to 10,805.70, 16,208.55 and 7,119.30

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Solution

The fourth proportional to 10,805.70, 16,208.55 and 7,119.30 is: 10,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.70 : 16,208.55 = 7,119.30 : x
  2. Step 2: Convert to fraction form
    10,805.70/16,208.55 = 7,119.30/x
  3. Step 3: Cross multiply
    10,805.70x = 16,208.55 × 7,119.30
  4. Step 4: Simplify right side
    10,805.70x = 115,393,530.02
  5. Step 5: Solve for x
    x = 115,393,530.02/10,805.70
  6. Step 6: Final answer
    x = 10,678.95

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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.