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Finding the Fourth Proportional to 11,900.66, 16,415.42 and 7,657.22

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Solution

The fourth proportional to 11,900.66, 16,415.42 and 7,657.22 is: 10,562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.66 : 16,415.42 = 7,657.22 : x
  2. Step 2: Convert to fraction form
    11,900.66/16,415.42 = 7,657.22/x
  3. Step 3: Cross multiply
    11,900.66x = 16,415.42 × 7,657.22
  4. Step 4: Simplify right side
    11,900.66x = 125,696,485.08
  5. Step 5: Solve for x
    x = 125,696,485.08/11,900.66
  6. Step 6: Final answer
    x = 10,562.15

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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.