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Finding the Fourth Proportional to 11,811.81, 16,285.10 and 9,679.53

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Solution

The fourth proportional to 11,811.81, 16,285.10 and 9,679.53 is: 13,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.81 : 16,285.10 = 9,679.53 : x
  2. Step 2: Convert to fraction form
    11,811.81/16,285.10 = 9,679.53/x
  3. Step 3: Cross multiply
    11,811.81x = 16,285.10 × 9,679.53
  4. Step 4: Simplify right side
    11,811.81x = 157,632,065.61
  5. Step 5: Solve for x
    x = 157,632,065.61/11,811.81
  6. Step 6: Final answer
    x = 13,345.29

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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.