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Finding the Fourth Proportional to 10,000.68, 14,986.42 and 5,626.68

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Solution

The fourth proportional to 10,000.68, 14,986.42 and 5,626.68 is: 8,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.68 : 14,986.42 = 5,626.68 : x
  2. Step 2: Convert to fraction form
    10,000.68/14,986.42 = 5,626.68/x
  3. Step 3: Cross multiply
    10,000.68x = 14,986.42 × 5,626.68
  4. Step 4: Simplify right side
    10,000.68x = 84,323,789.69
  5. Step 5: Solve for x
    x = 84,323,789.69/10,000.68
  6. Step 6: Final answer
    x = 8,431.81

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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.