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Finding the Fourth Proportional to 14,352.20, 21,528.90 and 7,685.90

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Solution

The fourth proportional to 14,352.20, 21,528.90 and 7,685.90 is: 11,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.20 : 21,528.90 = 7,685.90 : x
  2. Step 2: Convert to fraction form
    14,352.20/21,528.90 = 7,685.90/x
  3. Step 3: Cross multiply
    14,352.20x = 21,528.90 × 7,685.90
  4. Step 4: Simplify right side
    14,352.20x = 165,468,972.51
  5. Step 5: Solve for x
    x = 165,468,972.51/14,352.20
  6. Step 6: Final answer
    x = 11,529.17

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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.