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Finding the Fourth Proportional to 9,839.76, 13,572.96 and 7,183.92

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Solution

The fourth proportional to 9,839.76, 13,572.96 and 7,183.92 is: 9,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.76 : 13,572.96 = 7,183.92 : x
  2. Step 2: Convert to fraction form
    9,839.76/13,572.96 = 7,183.92/x
  3. Step 3: Cross multiply
    9,839.76x = 13,572.96 × 7,183.92
  4. Step 4: Simplify right side
    9,839.76x = 97,507,058.80
  5. Step 5: Solve for x
    x = 97,507,058.80/9,839.76
  6. Step 6: Final answer
    x = 9,909.50

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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.