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Finding the Fourth Proportional to 19,234, 26,543.56 and 11,780.56

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Solution

The fourth proportional to 19,234, 26,543.56 and 11,780.56 is: 16,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,234 : 26,543.56 = 11,780.56 : x
  2. Step 2: Convert to fraction form
    19,234/26,543.56 = 11,780.56/x
  3. Step 3: Cross multiply
    19,234x = 26,543.56 × 11,780.56
  4. Step 4: Simplify right side
    19,234x = 312,698,001.19
  5. Step 5: Solve for x
    x = 312,698,001.19/19,234
  6. Step 6: Final answer
    x = 16,257.56

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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.