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Finding the Fourth Proportional to 7,132.44, 9,842.64 and 3,945.62

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Solution

The fourth proportional to 7,132.44, 9,842.64 and 3,945.62 is: 5,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.44 : 9,842.64 = 3,945.62 : x
  2. Step 2: Convert to fraction form
    7,132.44/9,842.64 = 3,945.62/x
  3. Step 3: Cross multiply
    7,132.44x = 9,842.64 × 3,945.62
  4. Step 4: Simplify right side
    7,132.44x = 38,835,317.24
  5. Step 5: Solve for x
    x = 38,835,317.24/7,132.44
  6. Step 6: Final answer
    x = 5,444.89

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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.