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Finding the Fourth Proportional to 21,911.58, 32,870.70 and 8,059.50

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Solution

The fourth proportional to 21,911.58, 32,870.70 and 8,059.50 is: 12,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.58 : 32,870.70 = 8,059.50 : x
  2. Step 2: Convert to fraction form
    21,911.58/32,870.70 = 8,059.50/x
  3. Step 3: Cross multiply
    21,911.58x = 32,870.70 × 8,059.50
  4. Step 4: Simplify right side
    21,911.58x = 264,921,406.65
  5. Step 5: Solve for x
    x = 264,921,406.65/21,911.58
  6. Step 6: Final answer
    x = 12,090.47

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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.