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Finding the Fourth Proportional to 22,764, 31,384.35 and 19,905.51

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Solution

The fourth proportional to 22,764, 31,384.35 and 19,905.51 is: 27,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764 : 31,384.35 = 19,905.51 : x
  2. Step 2: Convert to fraction form
    22,764/31,384.35 = 19,905.51/x
  3. Step 3: Cross multiply
    22,764x = 31,384.35 × 19,905.51
  4. Step 4: Simplify right side
    22,764x = 624,721,492.77
  5. Step 5: Solve for x
    x = 624,721,492.77/22,764
  6. Step 6: Final answer
    x = 27,443.40

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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.