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Finding the Fourth Proportional to 21,708.54, 32,566.43 and 6,921.99

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Solution

The fourth proportional to 21,708.54, 32,566.43 and 6,921.99 is: 10,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.54 : 32,566.43 = 6,921.99 : x
  2. Step 2: Convert to fraction form
    21,708.54/32,566.43 = 6,921.99/x
  3. Step 3: Cross multiply
    21,708.54x = 32,566.43 × 6,921.99
  4. Step 4: Simplify right side
    21,708.54x = 225,424,502.80
  5. Step 5: Solve for x
    x = 225,424,502.80/21,708.54
  6. Step 6: Final answer
    x = 10,384.14

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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.