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Finding the Fourth Proportional to 21,891.54, 32,838.02 and 8,564.01

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Solution

The fourth proportional to 21,891.54, 32,838.02 and 8,564.01 is: 12,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.54 : 32,838.02 = 8,564.01 : x
  2. Step 2: Convert to fraction form
    21,891.54/32,838.02 = 8,564.01/x
  3. Step 3: Cross multiply
    21,891.54x = 32,838.02 × 8,564.01
  4. Step 4: Simplify right side
    21,891.54x = 281,225,088.84
  5. Step 5: Solve for x
    x = 281,225,088.84/21,891.54
  6. Step 6: Final answer
    x = 12,846.29

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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.