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Finding the Fourth Proportional to 11,903.76, 16,426.80 and 7,187.22

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Solution

The fourth proportional to 11,903.76, 16,426.80 and 7,187.22 is: 9,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,903.76 : 16,426.80 = 7,187.22 : x
  2. Step 2: Convert to fraction form
    11,903.76/16,426.80 = 7,187.22/x
  3. Step 3: Cross multiply
    11,903.76x = 16,426.80 × 7,187.22
  4. Step 4: Simplify right side
    11,903.76x = 118,063,025.50
  5. Step 5: Solve for x
    x = 118,063,025.50/11,903.76
  6. Step 6: Final answer
    x = 9,918.13

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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.