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Finding the Fourth Proportional to 11,986.02, 16,542.84 and 9,148.74

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Solution

The fourth proportional to 11,986.02, 16,542.84 and 9,148.74 is: 12,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.02 : 16,542.84 = 9,148.74 : x
  2. Step 2: Convert to fraction form
    11,986.02/16,542.84 = 9,148.74/x
  3. Step 3: Cross multiply
    11,986.02x = 16,542.84 × 9,148.74
  4. Step 4: Simplify right side
    11,986.02x = 151,346,142.02
  5. Step 5: Solve for x
    x = 151,346,142.02/11,986.02
  6. Step 6: Final answer
    x = 12,626.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.