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Finding the Fourth Proportional to 8,209.19, 11,328.80 and 4,672.42

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Solution

The fourth proportional to 8,209.19, 11,328.80 and 4,672.42 is: 6,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.19 : 11,328.80 = 4,672.42 : x
  2. Step 2: Convert to fraction form
    8,209.19/11,328.80 = 4,672.42/x
  3. Step 3: Cross multiply
    8,209.19x = 11,328.80 × 4,672.42
  4. Step 4: Simplify right side
    8,209.19x = 52,932,860.01
  5. Step 5: Solve for x
    x = 52,932,860.01/8,209.19
  6. Step 6: Final answer
    x = 6,448.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.