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Finding the Fourth Proportional to 12,309.78, 16,986.92 and 7,005.08

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Solution

The fourth proportional to 12,309.78, 16,986.92 and 7,005.08 is: 9,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.78 : 16,986.92 = 7,005.08 : x
  2. Step 2: Convert to fraction form
    12,309.78/16,986.92 = 7,005.08/x
  3. Step 3: Cross multiply
    12,309.78x = 16,986.92 × 7,005.08
  4. Step 4: Simplify right side
    12,309.78x = 118,994,733.55
  5. Step 5: Solve for x
    x = 118,994,733.55/12,309.78
  6. Step 6: Final answer
    x = 9,666.68

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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.