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Finding the Fourth Proportional to 21,859.81, 32,782.73 and 9,376.49

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Solution

The fourth proportional to 21,859.81, 32,782.73 and 9,376.49 is: 14,061.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859.81 : 32,782.73 = 9,376.49 : x
  2. Step 2: Convert to fraction form
    21,859.81/32,782.73 = 9,376.49/x
  3. Step 3: Cross multiply
    21,859.81x = 32,782.73 × 9,376.49
  4. Step 4: Simplify right side
    21,859.81x = 307,386,975.09
  5. Step 5: Solve for x
    x = 307,386,975.09/21,859.81
  6. Step 6: Final answer
    x = 14,061.74

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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.