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Finding the Fourth Proportional to 7,321, 10,981.50 and 3,428.14

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Solution

The fourth proportional to 7,321, 10,981.50 and 3,428.14 is: 5,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321 : 10,981.50 = 3,428.14 : x
  2. Step 2: Convert to fraction form
    7,321/10,981.50 = 3,428.14/x
  3. Step 3: Cross multiply
    7,321x = 10,981.50 × 3,428.14
  4. Step 4: Simplify right side
    7,321x = 37,646,119.41
  5. Step 5: Solve for x
    x = 37,646,119.41/7,321
  6. Step 6: Final answer
    x = 5,142.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.