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Finding the Fourth Proportional to 12,829.66, 19,241.74 and 7,489.28

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Solution

The fourth proportional to 12,829.66, 19,241.74 and 7,489.28 is: 11,232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.66 : 19,241.74 = 7,489.28 : x
  2. Step 2: Convert to fraction form
    12,829.66/19,241.74 = 7,489.28/x
  3. Step 3: Cross multiply
    12,829.66x = 19,241.74 × 7,489.28
  4. Step 4: Simplify right side
    12,829.66x = 144,106,836.01
  5. Step 5: Solve for x
    x = 144,106,836.01/12,829.66
  6. Step 6: Final answer
    x = 11,232.32

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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.