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Finding the Fourth Proportional to 21,900.32, 32,848.80 and 8,048

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Solution

The fourth proportional to 21,900.32, 32,848.80 and 8,048 is: 12,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,900.32 : 32,848.80 = 8,048 : x
  2. Step 2: Convert to fraction form
    21,900.32/32,848.80 = 8,048/x
  3. Step 3: Cross multiply
    21,900.32x = 32,848.80 × 8,048
  4. Step 4: Simplify right side
    21,900.32x = 264,367,142.40
  5. Step 5: Solve for x
    x = 264,367,142.40/21,900.32
  6. Step 6: Final answer
    x = 12,071.38

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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.