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Finding the Fourth Proportional to 21,666.42, 32,512.50 and 7,816.50

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Solution

The fourth proportional to 21,666.42, 32,512.50 and 7,816.50 is: 11,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.42 : 32,512.50 = 7,816.50 : x
  2. Step 2: Convert to fraction form
    21,666.42/32,512.50 = 7,816.50/x
  3. Step 3: Cross multiply
    21,666.42x = 32,512.50 × 7,816.50
  4. Step 4: Simplify right side
    21,666.42x = 254,133,956.25
  5. Step 5: Solve for x
    x = 254,133,956.25/21,666.42
  6. Step 6: Final answer
    x = 11,729.39

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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.