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Finding the Fourth Proportional to 12,174.45, 16,800.76 and 6,869.76

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Solution

The fourth proportional to 12,174.45, 16,800.76 and 6,869.76 is: 9,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.45 : 16,800.76 = 6,869.76 : x
  2. Step 2: Convert to fraction form
    12,174.45/16,800.76 = 6,869.76/x
  3. Step 3: Cross multiply
    12,174.45x = 16,800.76 × 6,869.76
  4. Step 4: Simplify right side
    12,174.45x = 115,417,260.61
  5. Step 5: Solve for x
    x = 115,417,260.61/12,174.45
  6. Step 6: Final answer
    x = 9,480.28

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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.