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Finding the Fourth Proportional to 12,858.03, 17,744 and 7,192.75

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Solution

The fourth proportional to 12,858.03, 17,744 and 7,192.75 is: 9,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.03 : 17,744 = 7,192.75 : x
  2. Step 2: Convert to fraction form
    12,858.03/17,744 = 7,192.75/x
  3. Step 3: Cross multiply
    12,858.03x = 17,744 × 7,192.75
  4. Step 4: Simplify right side
    12,858.03x = 127,628,156
  5. Step 5: Solve for x
    x = 127,628,156/12,858.03
  6. Step 6: Final answer
    x = 9,925.95

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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.