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Finding the Fourth Proportional to 12,773, 17,628.36 and 7,185.08

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Solution

The fourth proportional to 12,773, 17,628.36 and 7,185.08 is: 9,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773 : 17,628.36 = 7,185.08 : x
  2. Step 2: Convert to fraction form
    12,773/17,628.36 = 7,185.08/x
  3. Step 3: Cross multiply
    12,773x = 17,628.36 × 7,185.08
  4. Step 4: Simplify right side
    12,773x = 126,661,176.87
  5. Step 5: Solve for x
    x = 126,661,176.87/12,773
  6. Step 6: Final answer
    x = 9,916.32

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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.