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Finding the Fourth Proportional to 33,802.44, 50,710.44 and 10,428

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Solution

The fourth proportional to 33,802.44, 50,710.44 and 10,428 is: 15,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802.44 : 50,710.44 = 10,428 : x
  2. Step 2: Convert to fraction form
    33,802.44/50,710.44 = 10,428/x
  3. Step 3: Cross multiply
    33,802.44x = 50,710.44 × 10,428
  4. Step 4: Simplify right side
    33,802.44x = 528,808,468.32
  5. Step 5: Solve for x
    x = 528,808,468.32/33,802.44
  6. Step 6: Final answer
    x = 15,644.09

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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.