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Finding the Fourth Proportional to 10,488.49, 15,742.62 and 3,831.44

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Solution

The fourth proportional to 10,488.49, 15,742.62 and 3,831.44 is: 5,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.49 : 15,742.62 = 3,831.44 : x
  2. Step 2: Convert to fraction form
    10,488.49/15,742.62 = 3,831.44/x
  3. Step 3: Cross multiply
    10,488.49x = 15,742.62 × 3,831.44
  4. Step 4: Simplify right side
    10,488.49x = 60,316,825.26
  5. Step 5: Solve for x
    x = 60,316,825.26/10,488.49
  6. Step 6: Final answer
    x = 5,750.76

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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.