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Finding the Fourth Proportional to 12,174.93, 16,805 and 7,140.24

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Solution

The fourth proportional to 12,174.93, 16,805 and 7,140.24 is: 9,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.93 : 16,805 = 7,140.24 : x
  2. Step 2: Convert to fraction form
    12,174.93/16,805 = 7,140.24/x
  3. Step 3: Cross multiply
    12,174.93x = 16,805 × 7,140.24
  4. Step 4: Simplify right side
    12,174.93x = 119,991,733.20
  5. Step 5: Solve for x
    x = 119,991,733.20/12,174.93
  6. Step 6: Final answer
    x = 9,855.64

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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.