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Finding the Fourth Proportional to 19,861.70, 29,784.74 and 7,208.44

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Solution

The fourth proportional to 19,861.70, 29,784.74 and 7,208.44 is: 10,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861.70 : 29,784.74 = 7,208.44 : x
  2. Step 2: Convert to fraction form
    19,861.70/29,784.74 = 7,208.44/x
  3. Step 3: Cross multiply
    19,861.70x = 29,784.74 × 7,208.44
  4. Step 4: Simplify right side
    19,861.70x = 214,701,400.70
  5. Step 5: Solve for x
    x = 214,701,400.70/19,861.70
  6. Step 6: Final answer
    x = 10,809.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.