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Finding the Fourth Proportional to 7,402.82, 10,216.40 and 4,419.99

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Solution

The fourth proportional to 7,402.82, 10,216.40 and 4,419.99 is: 6,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.82 : 10,216.40 = 4,419.99 : x
  2. Step 2: Convert to fraction form
    7,402.82/10,216.40 = 4,419.99/x
  3. Step 3: Cross multiply
    7,402.82x = 10,216.40 × 4,419.99
  4. Step 4: Simplify right side
    7,402.82x = 45,156,363.74
  5. Step 5: Solve for x
    x = 45,156,363.74/7,402.82
  6. Step 6: Final answer
    x = 6,099.89

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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.