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Finding the Fourth Proportional to 9,549.12, 13,183.80 and 7,784.88

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Solution

The fourth proportional to 9,549.12, 13,183.80 and 7,784.88 is: 10,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.12 : 13,183.80 = 7,784.88 : x
  2. Step 2: Convert to fraction form
    9,549.12/13,183.80 = 7,784.88/x
  3. Step 3: Cross multiply
    9,549.12x = 13,183.80 × 7,784.88
  4. Step 4: Simplify right side
    9,549.12x = 102,634,300.94
  5. Step 5: Solve for x
    x = 102,634,300.94/9,549.12
  6. Step 6: Final answer
    x = 10,748.04

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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.