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Finding the Fourth Proportional to 8,549.30, 12,811.80 and 7,504.40

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Solution

The fourth proportional to 8,549.30, 12,811.80 and 7,504.40 is: 11,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.30 : 12,811.80 = 7,504.40 : x
  2. Step 2: Convert to fraction form
    8,549.30/12,811.80 = 7,504.40/x
  3. Step 3: Cross multiply
    8,549.30x = 12,811.80 × 7,504.40
  4. Step 4: Simplify right side
    8,549.30x = 96,144,871.92
  5. Step 5: Solve for x
    x = 96,144,871.92/8,549.30
  6. Step 6: Final answer
    x = 11,245.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.