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Finding the Fourth Proportional to 14,545, 21,817.50 and 4,685.28

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Solution

The fourth proportional to 14,545, 21,817.50 and 4,685.28 is: 7,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545 : 21,817.50 = 4,685.28 : x
  2. Step 2: Convert to fraction form
    14,545/21,817.50 = 4,685.28/x
  3. Step 3: Cross multiply
    14,545x = 21,817.50 × 4,685.28
  4. Step 4: Simplify right side
    14,545x = 102,221,096.40
  5. Step 5: Solve for x
    x = 102,221,096.40/14,545
  6. Step 6: Final answer
    x = 7,027.92

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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.