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Finding the Fourth Proportional to 11,409.54, 15,744.04 and 6,628.24

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Solution

The fourth proportional to 11,409.54, 15,744.04 and 6,628.24 is: 9,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.54 : 15,744.04 = 6,628.24 : x
  2. Step 2: Convert to fraction form
    11,409.54/15,744.04 = 6,628.24/x
  3. Step 3: Cross multiply
    11,409.54x = 15,744.04 × 6,628.24
  4. Step 4: Simplify right side
    11,409.54x = 104,355,275.69
  5. Step 5: Solve for x
    x = 104,355,275.69/11,409.54
  6. Step 6: Final answer
    x = 9,146.32

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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.