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Finding the Fourth Proportional to 12,768.16, 17,618.16 and 7,178.08

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Solution

The fourth proportional to 12,768.16, 17,618.16 and 7,178.08 is: 9,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.16 : 17,618.16 = 7,178.08 : x
  2. Step 2: Convert to fraction form
    12,768.16/17,618.16 = 7,178.08/x
  3. Step 3: Cross multiply
    12,768.16x = 17,618.16 × 7,178.08
  4. Step 4: Simplify right side
    12,768.16x = 126,464,561.93
  5. Step 5: Solve for x
    x = 126,464,561.93/12,768.16
  6. Step 6: Final answer
    x = 9,904.68

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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.