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Finding the Fourth Proportional to 21,842.40, 32,760 and 9,364.44

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Solution

The fourth proportional to 21,842.40, 32,760 and 9,364.44 is: 14,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.40 : 32,760 = 9,364.44 : x
  2. Step 2: Convert to fraction form
    21,842.40/32,760 = 9,364.44/x
  3. Step 3: Cross multiply
    21,842.40x = 32,760 × 9,364.44
  4. Step 4: Simplify right side
    21,842.40x = 306,779,054.40
  5. Step 5: Solve for x
    x = 306,779,054.40/21,842.40
  6. Step 6: Final answer
    x = 14,045.12

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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.