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Finding the Fourth Proportional to 3,009.40, 4,514.08 and 818.10

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Solution

The fourth proportional to 3,009.40, 4,514.08 and 818.10 is: 1,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.40 : 4,514.08 = 818.10 : x
  2. Step 2: Convert to fraction form
    3,009.40/4,514.08 = 818.10/x
  3. Step 3: Cross multiply
    3,009.40x = 4,514.08 × 818.10
  4. Step 4: Simplify right side
    3,009.40x = 3,692,968.34
  5. Step 5: Solve for x
    x = 3,692,968.34/3,009.40
  6. Step 6: Final answer
    x = 1,227.14

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