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Finding the Fourth Proportional to 12,307.92, 16,991.94 and 8,123.46

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Solution

The fourth proportional to 12,307.92, 16,991.94 and 8,123.46 is: 11,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.92 : 16,991.94 = 8,123.46 : x
  2. Step 2: Convert to fraction form
    12,307.92/16,991.94 = 8,123.46/x
  3. Step 3: Cross multiply
    12,307.92x = 16,991.94 × 8,123.46
  4. Step 4: Simplify right side
    12,307.92x = 138,033,344.91
  5. Step 5: Solve for x
    x = 138,033,344.91/12,307.92
  6. Step 6: Final answer
    x = 11,215.00

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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.