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Finding the Fourth Proportional to 21,316.96, 31,978.12 and 7,279.64

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Solution

The fourth proportional to 21,316.96, 31,978.12 and 7,279.64 is: 10,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.96 : 31,978.12 = 7,279.64 : x
  2. Step 2: Convert to fraction form
    21,316.96/31,978.12 = 7,279.64/x
  3. Step 3: Cross multiply
    21,316.96x = 31,978.12 × 7,279.64
  4. Step 4: Simplify right side
    21,316.96x = 232,789,201.48
  5. Step 5: Solve for x
    x = 232,789,201.48/21,316.96
  6. Step 6: Final answer
    x = 10,920.38

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1.5x scale

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.