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Finding the Fourth Proportional to 19,728, 27,224.64 and 10,775.53

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Solution

The fourth proportional to 19,728, 27,224.64 and 10,775.53 is: 14,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728 : 27,224.64 = 10,775.53 : x
  2. Step 2: Convert to fraction form
    19,728/27,224.64 = 10,775.53/x
  3. Step 3: Cross multiply
    19,728x = 27,224.64 × 10,775.53
  4. Step 4: Simplify right side
    19,728x = 293,359,925.06
  5. Step 5: Solve for x
    x = 293,359,925.06/19,728
  6. Step 6: Final answer
    x = 14,870.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.