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Finding the Fourth Proportional to 9,906.67, 13,671.32 and 5,430.33

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Solution

The fourth proportional to 9,906.67, 13,671.32 and 5,430.33 is: 7,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.67 : 13,671.32 = 5,430.33 : x
  2. Step 2: Convert to fraction form
    9,906.67/13,671.32 = 5,430.33/x
  3. Step 3: Cross multiply
    9,906.67x = 13,671.32 × 5,430.33
  4. Step 4: Simplify right side
    9,906.67x = 74,239,779.14
  5. Step 5: Solve for x
    x = 74,239,779.14/9,906.67
  6. Step 6: Final answer
    x = 7,493.92

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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.