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Finding the Fourth Proportional to 11,765.55, 16,235.97 and 6,460.49

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Solution

The fourth proportional to 11,765.55, 16,235.97 and 6,460.49 is: 8,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.55 : 16,235.97 = 6,460.49 : x
  2. Step 2: Convert to fraction form
    11,765.55/16,235.97 = 6,460.49/x
  3. Step 3: Cross multiply
    11,765.55x = 16,235.97 × 6,460.49
  4. Step 4: Simplify right side
    11,765.55x = 104,892,240.65
  5. Step 5: Solve for x
    x = 104,892,240.65/11,765.55
  6. Step 6: Final answer
    x = 8,915.20

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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.