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Finding the Fourth Proportional to 21,316.76, 31,978.06 and 7,273.02

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Solution

The fourth proportional to 21,316.76, 31,978.06 and 7,273.02 is: 10,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.76 : 31,978.06 = 7,273.02 : x
  2. Step 2: Convert to fraction form
    21,316.76/31,978.06 = 7,273.02/x
  3. Step 3: Cross multiply
    21,316.76x = 31,978.06 × 7,273.02
  4. Step 4: Simplify right side
    21,316.76x = 232,577,069.94
  5. Step 5: Solve for x
    x = 232,577,069.94/21,316.76
  6. Step 6: Final answer
    x = 10,910.53

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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.