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Finding the Fourth Proportional to 9,906.53, 13,670.92 and 5,430.26

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Solution

The fourth proportional to 9,906.53, 13,670.92 and 5,430.26 is: 7,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.53 : 13,670.92 = 5,430.26 : x
  2. Step 2: Convert to fraction form
    9,906.53/13,670.92 = 5,430.26/x
  3. Step 3: Cross multiply
    9,906.53x = 13,670.92 × 5,430.26
  4. Step 4: Simplify right side
    9,906.53x = 74,236,670.64
  5. Step 5: Solve for x
    x = 74,236,670.64/9,906.53
  6. Step 6: Final answer
    x = 7,493.71

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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.