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Finding the Fourth Proportional to 12,506.91, 17,259.53 and 7,202.75

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Solution

The fourth proportional to 12,506.91, 17,259.53 and 7,202.75 is: 9,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.91 : 17,259.53 = 7,202.75 : x
  2. Step 2: Convert to fraction form
    12,506.91/17,259.53 = 7,202.75/x
  3. Step 3: Cross multiply
    12,506.91x = 17,259.53 × 7,202.75
  4. Step 4: Simplify right side
    12,506.91x = 124,316,046.45
  5. Step 5: Solve for x
    x = 124,316,046.45/12,506.91
  6. Step 6: Final answer
    x = 9,939.79

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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.