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Finding the Fourth Proportional to 19,422.50, 26,802 and 11,461.82

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Solution

The fourth proportional to 19,422.50, 26,802 and 11,461.82 is: 15,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422.50 : 26,802 = 11,461.82 : x
  2. Step 2: Convert to fraction form
    19,422.50/26,802 = 11,461.82/x
  3. Step 3: Cross multiply
    19,422.50x = 26,802 × 11,461.82
  4. Step 4: Simplify right side
    19,422.50x = 307,199,565.63
  5. Step 5: Solve for x
    x = 307,199,565.63/19,422.50
  6. Step 6: Final answer
    x = 15,816.69

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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.