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Finding the Fourth Proportional to 7,953.88, 11,930.96 and 2,407.28

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Solution

The fourth proportional to 7,953.88, 11,930.96 and 2,407.28 is: 3,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.88 : 11,930.96 = 2,407.28 : x
  2. Step 2: Convert to fraction form
    7,953.88/11,930.96 = 2,407.28/x
  3. Step 3: Cross multiply
    7,953.88x = 11,930.96 × 2,407.28
  4. Step 4: Simplify right side
    7,953.88x = 28,721,161.39
  5. Step 5: Solve for x
    x = 28,721,161.39/7,953.88
  6. Step 6: Final answer
    x = 3,610.96

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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.