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Finding the Fourth Proportional to 7,406.10, 10,220.12 and 4,049.03

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Solution

The fourth proportional to 7,406.10, 10,220.12 and 4,049.03 is: 5,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.10 : 10,220.12 = 4,049.03 : x
  2. Step 2: Convert to fraction form
    7,406.10/10,220.12 = 4,049.03/x
  3. Step 3: Cross multiply
    7,406.10x = 10,220.12 × 4,049.03
  4. Step 4: Simplify right side
    7,406.10x = 41,381,572.48
  5. Step 5: Solve for x
    x = 41,381,572.48/7,406.10
  6. Step 6: Final answer
    x = 5,587.50

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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.