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Finding the Fourth Proportional to 19,988, 27,557.80 and 16,389.70

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Solution

The fourth proportional to 19,988, 27,557.80 and 16,389.70 is: 22,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988 : 27,557.80 = 16,389.70 : x
  2. Step 2: Convert to fraction form
    19,988/27,557.80 = 16,389.70/x
  3. Step 3: Cross multiply
    19,988x = 27,557.80 × 16,389.70
  4. Step 4: Simplify right side
    19,988x = 451,664,074.66
  5. Step 5: Solve for x
    x = 451,664,074.66/19,988
  6. Step 6: Final answer
    x = 22,596.76

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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.