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Finding the Fourth Proportional to 19,980.64, 29,896.97 and 16,019.78

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Solution

The fourth proportional to 19,980.64, 29,896.97 and 16,019.78 is: 23,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.64 : 29,896.97 = 16,019.78 : x
  2. Step 2: Convert to fraction form
    19,980.64/29,896.97 = 16,019.78/x
  3. Step 3: Cross multiply
    19,980.64x = 29,896.97 × 16,019.78
  4. Step 4: Simplify right side
    19,980.64x = 478,942,787.65
  5. Step 5: Solve for x
    x = 478,942,787.65/19,980.64
  6. Step 6: Final answer
    x = 23,970.35

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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.