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Finding the Fourth Proportional to 21,180.54, 31,770.93 and 5,598

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Solution

The fourth proportional to 21,180.54, 31,770.93 and 5,598 is: 8,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.54 : 31,770.93 = 5,598 : x
  2. Step 2: Convert to fraction form
    21,180.54/31,770.93 = 5,598/x
  3. Step 3: Cross multiply
    21,180.54x = 31,770.93 × 5,598
  4. Step 4: Simplify right side
    21,180.54x = 177,853,666.14
  5. Step 5: Solve for x
    x = 177,853,666.14/21,180.54
  6. Step 6: Final answer
    x = 8,397.03

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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.