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Finding the Fourth Proportional to 8,991.92, 12,409.64 and 5,407.47

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Solution

The fourth proportional to 8,991.92, 12,409.64 and 5,407.47 is: 7,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.92 : 12,409.64 = 5,407.47 : x
  2. Step 2: Convert to fraction form
    8,991.92/12,409.64 = 5,407.47/x
  3. Step 3: Cross multiply
    8,991.92x = 12,409.64 × 5,407.47
  4. Step 4: Simplify right side
    8,991.92x = 67,104,728.97
  5. Step 5: Solve for x
    x = 67,104,728.97/8,991.92
  6. Step 6: Final answer
    x = 7,462.79

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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.