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Finding the Fourth Proportional to 11,904.39, 16,420.59 and 7,660.98

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Solution

The fourth proportional to 11,904.39, 16,420.59 and 7,660.98 is: 10,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.39 : 16,420.59 = 7,660.98 : x
  2. Step 2: Convert to fraction form
    11,904.39/16,420.59 = 7,660.98/x
  3. Step 3: Cross multiply
    11,904.39x = 16,420.59 × 7,660.98
  4. Step 4: Simplify right side
    11,904.39x = 125,797,811.58
  5. Step 5: Solve for x
    x = 125,797,811.58/11,904.39
  6. Step 6: Final answer
    x = 10,567.35

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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.