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Finding the Fourth Proportional to 38,787, 58,180.50 and 14,163

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Solution

The fourth proportional to 38,787, 58,180.50 and 14,163 is: 21,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,787 : 58,180.50 = 14,163 : x
  2. Step 2: Convert to fraction form
    38,787/58,180.50 = 14,163/x
  3. Step 3: Cross multiply
    38,787x = 58,180.50 × 14,163
  4. Step 4: Simplify right side
    38,787x = 824,010,421.50
  5. Step 5: Solve for x
    x = 824,010,421.50/38,787
  6. Step 6: Final answer
    x = 21,244.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.