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Finding the Fourth Proportional to 8,355.84, 12,532.14 and 3,090.03

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Solution

The fourth proportional to 8,355.84, 12,532.14 and 3,090.03 is: 4,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.84 : 12,532.14 = 3,090.03 : x
  2. Step 2: Convert to fraction form
    8,355.84/12,532.14 = 3,090.03/x
  3. Step 3: Cross multiply
    8,355.84x = 12,532.14 × 3,090.03
  4. Step 4: Simplify right side
    8,355.84x = 38,724,688.56
  5. Step 5: Solve for x
    x = 38,724,688.56/8,355.84
  6. Step 6: Final answer
    x = 4,634.45

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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.