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Finding the Fourth Proportional to 21,364.78, 32,041.90 and 9,675.67

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Solution

The fourth proportional to 21,364.78, 32,041.90 and 9,675.67 is: 14,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.78 : 32,041.90 = 9,675.67 : x
  2. Step 2: Convert to fraction form
    21,364.78/32,041.90 = 9,675.67/x
  3. Step 3: Cross multiply
    21,364.78x = 32,041.90 × 9,675.67
  4. Step 4: Simplify right side
    21,364.78x = 310,026,850.57
  5. Step 5: Solve for x
    x = 310,026,850.57/21,364.78
  6. Step 6: Final answer
    x = 14,511.12

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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.