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Finding the Fourth Proportional to 21,316.76, 31,976.24 and 7,278.40

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Solution

The fourth proportional to 21,316.76, 31,976.24 and 7,278.40 is: 10,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.76 : 31,976.24 = 7,278.40 : x
  2. Step 2: Convert to fraction form
    21,316.76/31,976.24 = 7,278.40/x
  3. Step 3: Cross multiply
    21,316.76x = 31,976.24 × 7,278.40
  4. Step 4: Simplify right side
    21,316.76x = 232,735,865.22
  5. Step 5: Solve for x
    x = 232,735,865.22/21,316.76
  6. Step 6: Final answer
    x = 10,917.98

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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.