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Finding the Fourth Proportional to 11,411.80, 15,739.38 and 7,324.00

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Solution

The fourth proportional to 11,411.80, 15,739.38 and 7,324.00 is: 10,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.80 : 15,739.38 = 7,324.00 : x
  2. Step 2: Convert to fraction form
    11,411.80/15,739.38 = 7,324.00/x
  3. Step 3: Cross multiply
    11,411.80x = 15,739.38 × 7,324.00
  4. Step 4: Simplify right side
    11,411.80x = 115,275,179.77
  5. Step 5: Solve for x
    x = 115,275,179.77/11,411.80
  6. Step 6: Final answer
    x = 10,101.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.