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Finding the Fourth Proportional to 12,174.10, 16,800.48 and 7,141.93

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Solution

The fourth proportional to 12,174.10, 16,800.48 and 7,141.93 is: 9,855.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.10 : 16,800.48 = 7,141.93 : x
  2. Step 2: Convert to fraction form
    12,174.10/16,800.48 = 7,141.93/x
  3. Step 3: Cross multiply
    12,174.10x = 16,800.48 × 7,141.93
  4. Step 4: Simplify right side
    12,174.10x = 119,987,852.13
  5. Step 5: Solve for x
    x = 119,987,852.13/12,174.10
  6. Step 6: Final answer
    x = 9,855.99

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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.