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Finding the Fourth Proportional to 12,944.00, 17,858.68 and 7,277.85

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Solution

The fourth proportional to 12,944.00, 17,858.68 and 7,277.85 is: 10,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.00 : 17,858.68 = 7,277.85 : x
  2. Step 2: Convert to fraction form
    12,944.00/17,858.68 = 7,277.85/x
  3. Step 3: Cross multiply
    12,944.00x = 17,858.68 × 7,277.85
  4. Step 4: Simplify right side
    12,944.00x = 129,972,776.04
  5. Step 5: Solve for x
    x = 129,972,776.04/12,944.00
  6. Step 6: Final answer
    x = 10,041.16

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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.