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Finding the Fourth Proportional to 7,470.26, 10,309.20 and 4,113.30

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Solution

The fourth proportional to 7,470.26, 10,309.20 and 4,113.30 is: 5,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.26 : 10,309.20 = 4,113.30 : x
  2. Step 2: Convert to fraction form
    7,470.26/10,309.20 = 4,113.30/x
  3. Step 3: Cross multiply
    7,470.26x = 10,309.20 × 4,113.30
  4. Step 4: Simplify right side
    7,470.26x = 42,404,832.36
  5. Step 5: Solve for x
    x = 42,404,832.36/7,470.26
  6. Step 6: Final answer
    x = 5,676.49

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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.