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Finding the Fourth Proportional to 14,153.70, 21,225.63 and 7,131

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Solution

The fourth proportional to 14,153.70, 21,225.63 and 7,131 is: 10,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,153.70 : 21,225.63 = 7,131 : x
  2. Step 2: Convert to fraction form
    14,153.70/21,225.63 = 7,131/x
  3. Step 3: Cross multiply
    14,153.70x = 21,225.63 × 7,131
  4. Step 4: Simplify right side
    14,153.70x = 151,359,967.53
  5. Step 5: Solve for x
    x = 151,359,967.53/14,153.70
  6. Step 6: Final answer
    x = 10,694.02

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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.