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Finding the Fourth Proportional to 11,902.40, 16,425.51 and 7,189.40

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Solution

The fourth proportional to 11,902.40, 16,425.51 and 7,189.40 is: 9,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.40 : 16,425.51 = 7,189.40 : x
  2. Step 2: Convert to fraction form
    11,902.40/16,425.51 = 7,189.40/x
  3. Step 3: Cross multiply
    11,902.40x = 16,425.51 × 7,189.40
  4. Step 4: Simplify right side
    11,902.40x = 118,089,561.59
  5. Step 5: Solve for x
    x = 118,089,561.59/11,902.40
  6. Step 6: Final answer
    x = 9,921.49

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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.