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Finding the Fourth Proportional to 12,958.75, 17,885.24 and 9,809.47

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Solution

The fourth proportional to 12,958.75, 17,885.24 and 9,809.47 is: 13,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,958.75 : 17,885.24 = 9,809.47 : x
  2. Step 2: Convert to fraction form
    12,958.75/17,885.24 = 9,809.47/x
  3. Step 3: Cross multiply
    12,958.75x = 17,885.24 × 9,809.47
  4. Step 4: Simplify right side
    12,958.75x = 175,444,725.22
  5. Step 5: Solve for x
    x = 175,444,725.22/12,958.75
  6. Step 6: Final answer
    x = 13,538.71

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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.