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Finding the Fourth Proportional to 12,805.71, 19,183.71 and 8,409.84

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Solution

The fourth proportional to 12,805.71, 19,183.71 and 8,409.84 is: 12,598.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.71 : 19,183.71 = 8,409.84 : x
  2. Step 2: Convert to fraction form
    12,805.71/19,183.71 = 8,409.84/x
  3. Step 3: Cross multiply
    12,805.71x = 19,183.71 × 8,409.84
  4. Step 4: Simplify right side
    12,805.71x = 161,331,931.71
  5. Step 5: Solve for x
    x = 161,331,931.71/12,805.71
  6. Step 6: Final answer
    x = 12,598.44

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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.