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Finding the Fourth Proportional to 21,838.84, 32,759.10 and 7,048

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Solution

The fourth proportional to 21,838.84, 32,759.10 and 7,048 is: 10,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.84 : 32,759.10 = 7,048 : x
  2. Step 2: Convert to fraction form
    21,838.84/32,759.10 = 7,048/x
  3. Step 3: Cross multiply
    21,838.84x = 32,759.10 × 7,048
  4. Step 4: Simplify right side
    21,838.84x = 230,886,136.80
  5. Step 5: Solve for x
    x = 230,886,136.80/21,838.84
  6. Step 6: Final answer
    x = 10,572.27

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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.