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Finding the Fourth Proportional to 14,523, 21,784.50 and 3,579

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Solution

The fourth proportional to 14,523, 21,784.50 and 3,579 is: 5,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523 : 21,784.50 = 3,579 : x
  2. Step 2: Convert to fraction form
    14,523/21,784.50 = 3,579/x
  3. Step 3: Cross multiply
    14,523x = 21,784.50 × 3,579
  4. Step 4: Simplify right side
    14,523x = 77,966,725.50
  5. Step 5: Solve for x
    x = 77,966,725.50/14,523
  6. Step 6: Final answer
    x = 5,368.50

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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.