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Finding the Fourth Proportional to 12,768.00, 17,600.64 and 10,074.58

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Solution

The fourth proportional to 12,768.00, 17,600.64 and 10,074.58 is: 13,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.00 : 17,600.64 = 10,074.58 : x
  2. Step 2: Convert to fraction form
    12,768.00/17,600.64 = 10,074.58/x
  3. Step 3: Cross multiply
    12,768.00x = 17,600.64 × 10,074.58
  4. Step 4: Simplify right side
    12,768.00x = 177,319,030.62
  5. Step 5: Solve for x
    x = 177,319,030.62/12,768.00
  6. Step 6: Final answer
    x = 13,887.76

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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.