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Finding the Fourth Proportional to 12,507.75, 17,261.24 and 6,918.75

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Solution

The fourth proportional to 12,507.75, 17,261.24 and 6,918.75 is: 9,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,507.75 : 17,261.24 = 6,918.75 : x
  2. Step 2: Convert to fraction form
    12,507.75/17,261.24 = 6,918.75/x
  3. Step 3: Cross multiply
    12,507.75x = 17,261.24 × 6,918.75
  4. Step 4: Simplify right side
    12,507.75x = 119,426,169.66
  5. Step 5: Solve for x
    x = 119,426,169.66/12,507.75
  6. Step 6: Final answer
    x = 9,548.17

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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.