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Finding the Fourth Proportional to 11,337.58, 16,986.90 and 9,004.78

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Solution

The fourth proportional to 11,337.58, 16,986.90 and 9,004.78 is: 13,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.58 : 16,986.90 = 9,004.78 : x
  2. Step 2: Convert to fraction form
    11,337.58/16,986.90 = 9,004.78/x
  3. Step 3: Cross multiply
    11,337.58x = 16,986.90 × 9,004.78
  4. Step 4: Simplify right side
    11,337.58x = 152,963,297.38
  5. Step 5: Solve for x
    x = 152,963,297.38/11,337.58
  6. Step 6: Final answer
    x = 13,491.71

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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.