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Finding the Fourth Proportional to 34,374, 47,428.92 and 20,228.40

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Solution

The fourth proportional to 34,374, 47,428.92 and 20,228.40 is: 27,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,374 : 47,428.92 = 20,228.40 : x
  2. Step 2: Convert to fraction form
    34,374/47,428.92 = 20,228.40/x
  3. Step 3: Cross multiply
    34,374x = 47,428.92 × 20,228.40
  4. Step 4: Simplify right side
    34,374x = 959,411,165.33
  5. Step 5: Solve for x
    x = 959,411,165.33/34,374
  6. Step 6: Final answer
    x = 27,910.95

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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.