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Finding the Fourth Proportional to 14,523, 21,787.74 and 5,289

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Solution

The fourth proportional to 14,523, 21,787.74 and 5,289 is: 7,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523 : 21,787.74 = 5,289 : x
  2. Step 2: Convert to fraction form
    14,523/21,787.74 = 5,289/x
  3. Step 3: Cross multiply
    14,523x = 21,787.74 × 5,289
  4. Step 4: Simplify right side
    14,523x = 115,235,356.86
  5. Step 5: Solve for x
    x = 115,235,356.86/14,523
  6. Step 6: Final answer
    x = 7,934.68

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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.