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Finding the Fourth Proportional to 12,302.35, 16,978.68 and 6,997.96

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Solution

The fourth proportional to 12,302.35, 16,978.68 and 6,997.96 is: 9,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.35 : 16,978.68 = 6,997.96 : x
  2. Step 2: Convert to fraction form
    12,302.35/16,978.68 = 6,997.96/x
  3. Step 3: Cross multiply
    12,302.35x = 16,978.68 × 6,997.96
  4. Step 4: Simplify right side
    12,302.35x = 118,816,123.49
  5. Step 5: Solve for x
    x = 118,816,123.49/12,302.35
  6. Step 6: Final answer
    x = 9,658.00

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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.