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Finding the Fourth Proportional to 11,811.90, 16,294.74 and 7,334.22

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Solution

The fourth proportional to 11,811.90, 16,294.74 and 7,334.22 is: 10,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.90 : 16,294.74 = 7,334.22 : x
  2. Step 2: Convert to fraction form
    11,811.90/16,294.74 = 7,334.22/x
  3. Step 3: Cross multiply
    11,811.90x = 16,294.74 × 7,334.22
  4. Step 4: Simplify right side
    11,811.90x = 119,509,208.00
  5. Step 5: Solve for x
    x = 119,509,208.00/11,811.90
  6. Step 6: Final answer
    x = 10,117.70

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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.