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Finding the Fourth Proportional to 10,367.74, 15,539.42 and 4,809.40

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Solution

The fourth proportional to 10,367.74, 15,539.42 and 4,809.40 is: 7,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.74 : 15,539.42 = 4,809.40 : x
  2. Step 2: Convert to fraction form
    10,367.74/15,539.42 = 4,809.40/x
  3. Step 3: Cross multiply
    10,367.74x = 15,539.42 × 4,809.40
  4. Step 4: Simplify right side
    10,367.74x = 74,735,286.55
  5. Step 5: Solve for x
    x = 74,735,286.55/10,367.74
  6. Step 6: Final answer
    x = 7,208.45

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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.