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Finding the Fourth Proportional to 12,312, 16,990.56 and 6,723

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Solution

The fourth proportional to 12,312, 16,990.56 and 6,723 is: 9,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312 : 16,990.56 = 6,723 : x
  2. Step 2: Convert to fraction form
    12,312/16,990.56 = 6,723/x
  3. Step 3: Cross multiply
    12,312x = 16,990.56 × 6,723
  4. Step 4: Simplify right side
    12,312x = 114,227,534.88
  5. Step 5: Solve for x
    x = 114,227,534.88/12,312
  6. Step 6: Final answer
    x = 9,277.74

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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.