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Finding the Fourth Proportional to 11,640.98, 16,064.90 and 6,605.42

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Solution

The fourth proportional to 11,640.98, 16,064.90 and 6,605.42 is: 9,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.98 : 16,064.90 = 6,605.42 : x
  2. Step 2: Convert to fraction form
    11,640.98/16,064.90 = 6,605.42/x
  3. Step 3: Cross multiply
    11,640.98x = 16,064.90 × 6,605.42
  4. Step 4: Simplify right side
    11,640.98x = 106,115,298.41
  5. Step 5: Solve for x
    x = 106,115,298.41/11,640.98
  6. Step 6: Final answer
    x = 9,115.67

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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.