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Finding the Fourth Proportional to 12,462.46, 17,188.47 and 7,986.63

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Solution

The fourth proportional to 12,462.46, 17,188.47 and 7,986.63 is: 11,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.46 : 17,188.47 = 7,986.63 : x
  2. Step 2: Convert to fraction form
    12,462.46/17,188.47 = 7,986.63/x
  3. Step 3: Cross multiply
    12,462.46x = 17,188.47 × 7,986.63
  4. Step 4: Simplify right side
    12,462.46x = 137,277,950.16
  5. Step 5: Solve for x
    x = 137,277,950.16/12,462.46
  6. Step 6: Final answer
    x = 11,015.32

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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.