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Finding the Fourth Proportional to 21,870.46, 32,805.84 and 9,379.94

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Solution

The fourth proportional to 21,870.46, 32,805.84 and 9,379.94 is: 14,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.46 : 32,805.84 = 9,379.94 : x
  2. Step 2: Convert to fraction form
    21,870.46/32,805.84 = 9,379.94/x
  3. Step 3: Cross multiply
    21,870.46x = 32,805.84 × 9,379.94
  4. Step 4: Simplify right side
    21,870.46x = 307,716,810.85
  5. Step 5: Solve for x
    x = 307,716,810.85/21,870.46
  6. Step 6: Final answer
    x = 14,069.98

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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.