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Finding the Fourth Proportional to 9,904.96, 13,637.76 and 8,409.92

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Solution

The fourth proportional to 9,904.96, 13,637.76 and 8,409.92 is: 11,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.96 : 13,637.76 = 8,409.92 : x
  2. Step 2: Convert to fraction form
    9,904.96/13,637.76 = 8,409.92/x
  3. Step 3: Cross multiply
    9,904.96x = 13,637.76 × 8,409.92
  4. Step 4: Simplify right side
    9,904.96x = 114,692,470.58
  5. Step 5: Solve for x
    x = 114,692,470.58/9,904.96
  6. Step 6: Final answer
    x = 11,579.30

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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.