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Finding the Fourth Proportional to 12,809.85, 17,670.49 and 7,503.64

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Solution

The fourth proportional to 12,809.85, 17,670.49 and 7,503.64 is: 10,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.85 : 17,670.49 = 7,503.64 : x
  2. Step 2: Convert to fraction form
    12,809.85/17,670.49 = 7,503.64/x
  3. Step 3: Cross multiply
    12,809.85x = 17,670.49 × 7,503.64
  4. Step 4: Simplify right side
    12,809.85x = 132,592,932.65
  5. Step 5: Solve for x
    x = 132,592,932.65/12,809.85
  6. Step 6: Final answer
    x = 10,350.86

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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.