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Finding the Fourth Proportional to 15,889.10, 21,877.11 and 13,494.08

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Solution

The fourth proportional to 15,889.10, 21,877.11 and 13,494.08 is: 18,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.10 : 21,877.11 = 13,494.08 : x
  2. Step 2: Convert to fraction form
    15,889.10/21,877.11 = 13,494.08/x
  3. Step 3: Cross multiply
    15,889.10x = 21,877.11 × 13,494.08
  4. Step 4: Simplify right side
    15,889.10x = 295,211,472.51
  5. Step 5: Solve for x
    x = 295,211,472.51/15,889.10
  6. Step 6: Final answer
    x = 18,579.50

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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.