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Finding the Fourth Proportional to 37,780, 56,662.70 and 14,400.97

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Solution

The fourth proportional to 37,780, 56,662.70 and 14,400.97 is: 21,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,780 : 56,662.70 = 14,400.97 : x
  2. Step 2: Convert to fraction form
    37,780/56,662.70 = 14,400.97/x
  3. Step 3: Cross multiply
    37,780x = 56,662.70 × 14,400.97
  4. Step 4: Simplify right side
    37,780x = 815,997,842.82
  5. Step 5: Solve for x
    x = 815,997,842.82/37,780
  6. Step 6: Final answer
    x = 21,598.67

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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.