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Finding the Fourth Proportional to 10,658.84, 15,999.35 and 7,850.85

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Solution

The fourth proportional to 10,658.84, 15,999.35 and 7,850.85 is: 11,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.84 : 15,999.35 = 7,850.85 : x
  2. Step 2: Convert to fraction form
    10,658.84/15,999.35 = 7,850.85/x
  3. Step 3: Cross multiply
    10,658.84x = 15,999.35 × 7,850.85
  4. Step 4: Simplify right side
    10,658.84x = 125,608,441.86
  5. Step 5: Solve for x
    x = 125,608,441.86/10,658.84
  6. Step 6: Final answer
    x = 11,784.44

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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.