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Finding the Fourth Proportional to 19,876.68, 27,400.92 and 13,889.77

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Solution

The fourth proportional to 19,876.68, 27,400.92 and 13,889.77 is: 19,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.68 : 27,400.92 = 13,889.77 : x
  2. Step 2: Convert to fraction form
    19,876.68/27,400.92 = 13,889.77/x
  3. Step 3: Cross multiply
    19,876.68x = 27,400.92 × 13,889.77
  4. Step 4: Simplify right side
    19,876.68x = 380,592,356.00
  5. Step 5: Solve for x
    x = 380,592,356.00/19,876.68
  6. Step 6: Final answer
    x = 19,147.68

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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.